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All IPCC definitions taken from Climate Change 2007: The Physical Science Basis. Working Group I Contribution to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Annex I, Glossary, pp. 941-954. Cambridge University Press.

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Sun & climate: moving in opposite directions

What the science says...

Select a level... Basic Intermediate Advanced

The sun's energy has decreased since the 1980s but the Earth keeps warming faster than before.

Climate Myth...

It's the sun

"Over the past few hundred years, there has been a steady increase in the numbers of sunspots, at the time when the Earth has been getting warmer. The data suggests solar activity is influencing the global climate causing the world to get warmer." (BBC)

At a glance

Thankfully for us, our Sun is a very average kind of star. That means it behaves stably over billions of years, steadily consuming its hydrogen fuel in the nuclear reaction that produces sunshine.

Solar stability, along with the Greenhouse Effect, combine to give our planet a habitable range of surface temperatures. In contrast, less stable stars can vary a lot in their radiation output. That lack of stability can prevent life, as we know it, from evolving on any planets that might orbit such stars.

That the Sun is a stable type of star is clearly demonstrated by the amount of Solar energy reaching Earth's average orbital position: it varies very little at all. This quantity, called the Total Solar Irradiance, has been measured for around forty years with high accuracy by sensitive instruments aboard satellites. Its average value is 1,362 watts per square metre. Irradiance fluctuates by about a watt either way, depending on where we are within the 11-year long sunspot cycle. That's a variation of no more than 0.15%.

From the early 1970s until today, the Solar radiation reaching the top of Earth's atmosphere has in fact shown a very slight decline. Through that same period, global temperatures have continued to increase. The two data records, incoming Solar energy and global temperature, have diverged. That means they have gone in opposite directions. If incoming Solar energy has decreased while the Earth continues to warm up, the Sun cannot be the control-knob of that warming.

Attempts to blame the sun for the rise in global temperatures have had to involve taking the data but selecting only the time periods that support such an argument. The remaining parts of the information - showing that divergence - have had to be ditched. Proper science study requires that all the available data be considered, not just a part of it. This particular sin is known as “cherry-picking”.

Please use this form to provide feedback about this new "At a glance" section, which was updated on May 27, 2023 to improve its readability. Read a more technical version below or dig deeper via the tabs above!


Further details

Our Sun is an average-sized main sequence star that is steadily using its hydrogen fuel, situated some 150 million kilometres away from Earth. That distance was first determined (with a small error) by a time consuming and complex set of measurements in the late 1700s. It led to the first systemic considerations of Earth's climate by Joseph Fourier in the 1820s. Fourier's number-crunching led him to realise a planet of Earth's size situated that far from the Sun ought to be significantly colder than it was. He was thereby laying the foundation stone for the line of enquiry that led after a few decades to the discovery of what we now call the Greenhouse Effect – and the way that effect changes in intensity as a response to rising or falling levels of the various greenhouse gases.

TSI Solar cycles

Figure 1: Plot of the observational record (1979-2022) on the scale of the TSIS-1 instrument currently flying on the space station. In this plot, the different records are all cross calibrated to the TSIS-1 absolute scale (e.g., the TSIS1-absolute scale is 0.858 W/m^2 higher than the SORCE absolute scale) so the variability of TSI in this plot is considered to be its “true variability” (within cross calibration uncertainties). Image: Judith Lean.

The Sun has a strong magnetic field, but one that is constantly on the move, to the extent that around every 11 years or so, Solar polarity flips: north becomes south, until another 11 years has passed when it flips back again. These Solar Cycles affect what happens at the surface of the Sun, such as the sunspots caused by those magnetic fields. Each cycle starts at Solar Minimum with very few or no sunspots, then rises mid-cycle towards Solar Maximum, where sunspots are numerous, before falling back towards the end. The total radiation emitted by the Sun – total solar irradiance (TSI) is the technical term – essentially defined as the solar flux at the Earth's orbital radius, fluctuates through this 11-year cycle by up to 0.15% between maximum and minimum.

Such short term and small fluctuations in TSI do not have a strong long term influence on Earth's climate: they are not large enough and as it's a cycle, they essentially cancel one another out. Over the longer term, more sustained changes in TSI over centuries are more important. This is why such information is included, along with other natural and human-driven influences, when running climate models, to ask them, “what if?"

An examination of the past 1150 years found temperatures to have closely matched solar activity for much of that time (Usoskin et al. 2005). But also for much of that time, greenhouse gas concentrations hardly varied at all. This led the study to conclude, "...so that at least this most recent warming episode must have another source."

TSI vs. T
Figure 2: Annual global temperature change (thin light red) with 11 year moving average of temperature (thick dark red). Temperature from NASA GISS. Annual Total Solar Irradiance (thin light blue) with 11 year moving average of TSI (thick dark blue). TSI from 1880 to 1978 from Krivova et al. 2007. TSI from 1979 to 2015 from the World Radiation Center (see their PMOD index page for data updates). Plots of the most recent solar irradiance can be found at the Laboratory for Atmospheric and Space Physics LISIRD site.

The slight decline in Solar activity after 1975 was picked up through a number of independent measurements, so is definitely real. Over the last 45 years of global warming, Solar activity and global temperature have therefore been steadily diverging. In fact, an analysis of solar trends concluded that the sun has actually contributed a slight cooling influence into the mix that has driven global temperature through recent decades (Lockwood, 2008), but the massive increase in carbon-based greenhouse gases is the main forcing agent at present.

Other studies tend to agree. Foster & Rahmstorf (2011) used multiple linear regression to quantify and remove the effects of the El Niño Southern Oscillation (ENSO) and solar and volcanic activity from the surface and lower troposphere temperature data.  They found that from 1979 to 2010, solar activity had a very slight cooling effect of between -0.014 and -0.023°C per decade, depending on the data set. A more recent graphic, from the IPCC AR6, shows these trends to have continued.

AR6 WGI SPM Figure 1 Panel p

Figure 3: Figure SPM.1 (IPCC AR6 WGI SPM) - History of global temperature change and causes of recent warming panel (b). Changes in global surface temperature over the past 170 years (black line) relative to 1850–1900 and annually averaged, compared to Coupled Model Intercomparison Project Phase 6 (CMIP6) climate model simulations (see Box SPM.1) of the temperature response to both human and natural drivers (brown) and to only natural drivers (solar and volcanic activity, green). For the full image and caption please click here or on the image.

Like Foster & Rahmstorf, Lean & Rind (2008) performed a multiple linear regression on the temperature data, and found that while solar activity can account for about 11% of the global warming from 1889 to 2006, it can only account for 1.6% of the warming from 1955 to 2005, and had a slight cooling effect (-0.004°C per decade) from 1979 to 2005.

Finally, physics does not support the claim that changes in TSI drive current climate change. If that claim had any credence, we would not expect to see the current situation, in which Earth's lower atmosphere is warming strongly whereas the upper atmosphere is cooling. That is exactly the pattern predicted by physics, in our situation where we have overloaded Earth's atmosphere with greenhouse gases. If warming was solely down to the Sun, we would expect the opposite pattern. In fact, the only way to propagate this myth nowadays involves cherry-picking everything prior to 1975 and completely disregarding all the more recent data. That's simply not science.

Longer-term variations in TSI received by Earth

It's also important to mention variations in TSI driven not by Solar energy output but by variations in Earth's orbit, that are of course independent of Solar activity. Such variations, however, take place over very long periods, described by the Milankovitch orbital cycles operating over tens of thousands of years. Those cycles determine the distance between Earth and the Sun at perihelion and aphelion and in addition the tilt the planet's axis of rotation: both affect how much heat-radiation the planet receives at the top of its atmosphere through time. But such fluctuations are nothing like the rapid changes we see in the weather, such as the difference between a sunny day and a cloudy one. The long time-factor ensures that.

Another even more obscure approach used to claim, "it's the sun" was (and probably still is in some quarters) to talk about, "indirect effects". To wit, when studies can't find a sufficiently large direct effect, bring even lesser factors to the fore, such as cosmic rays. Fail.

In conclusion, the recent, post 1975 steep rise in global temperatures are not reflected in TSI changes that have in fact exerted a slight cooling influence. Milankovitch cycles that operate over vastly bigger time-scales simply don't work quickly enough to change climate drastically over a few decades. Instead, the enormous rise in greenhouse gas concentrations over the same period is the primary forcing-agent. The physics predicted what is now being observed.

Last updated on 27 May 2023 by John Mason. View Archives

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Related video from Peter Sinclair's "Climate Denial Crock of the Week" series:

Further viewing

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Comments 226 to 250 out of 1295:

  1. I posted this on what may be a dead end Mars warming story. Could any comment be made on possible chemical reactions resultant from storm activity on the surface of Mars. Excuse ignorance, ignore if stupid. Thanks
  2. Re: #244: The diagram in Fig. 7 of Kiehl & Trenberth's is quite misleading. Numbers that look like they are total fluxes in one direction or the other are not. To get the right equation to express Conservation of Energy at the Earth's surface, one must refer to the previous page, which has: SW = LW + LH + SH where: LW = Surface Radiation - Back Radiation Absorbed by Surface = 396-24=66, just as Trenberth said. SW is the net (downward) shortwave flux at the surface, which is called Incoming Solar Radiation Absorbed by Surface which is 168 (we can ignore reflected) LH is latent heat, SH is 'sensible heat' (not in Fig. 7). So this gives 168=66+78+24, which is correct for expressing Conservation of Energy at the surface.
  3. Post #246 was really directed as a response to #243, not #244. Yet it is indirectly applicable to #244 also. But this post is directed to another subtopic of #243, the alleged violation of the 2nd Law of Thermodynamics. The application of the 2nd Law is not that straightforward. This becomes more clear if we use a better source for the wording of the Law, better than Wikipedia or the Hyperphysics site. I use The Pauli Lectures on Physics Vol 3, which is on Thermodynamics, and has: "There does not exist a device which, working in a cycle, permits heat to be transferred from a reservoir at one temperature to a reservoir at a higher temperature without compensating changes (that is, unless mechanical work is done or energy is added by some other means)". But we have both of these compensating changes: mechanical work is done on the atmosphere itself as it is heated by radiation, and energy is added from the sun. Besides: the radiation budget diagrams like Kiehl and Trenberth's Fig. 7 do not SHOW a cycle. So in order to show an alleged violation, one would have to show how to use what IS shown in Fig. 7 to construct a cyclic process transferring heat to a hotter reservoir without compensating changes. This is actually not a simple construction, which is why people do not usually resort to it. Instead, they analyze such situations by using, for example, the Gibbs variational method, which automatically guarantees compliance to both First and Second Laws.
  4. Re: #246 and #247 The Sun is the ONLY energy source in Fig.7 of Kiehl & Trenberth's Energy Budget Diagrams. In-coming Solar energy and out-going IR energy is balanced at the top of the atmosphere. However, below the upper atmosphere Conservation of Energy is violated. The Law of Conservation of Energy always applies....including the Earth's surface. The Surface of the Earth absorbes 168 w/m^2 of Solar Energy (and is the ONLY energy source). The Atmosphere and the Earth are NOT energy sources. The Earth's surface is shown to be radiating 390 w/m^2. The Back Radiation from the atmosphere (shown to be absorbed by the Earth's surface) is 324 w/m^2. Both these quantities (390 w/m^2) and (324 w/m^2) exceed the ONLY energy source (the Sun) which provides only 168 w/m^2. The Law of Conservation of Energy states: "Energy can never be created or destroyed". There is, obviously, energy "creation" in this situation....an impossible outcome. ------------------ MattJ's post with reference to the 2nd Law of Thermodynamics states: "The application of the 2nd Law is not that straightforward. This becomes more clear if we use a better source for the wording of the Law, better than Wikipedia or the Hyperphysics site. I use The Pauli Lectures on Physics Vol 3, which is on Thermodynamics, and has: "There does not exist a device which, working in a cycle, permits heat to be transferred from a reservoir at one temperature to a reservoir at a higher temperature without compensating changes (that is, unless mechanical work is done or energy is added by some other means)". I fail to see the difference between MattJ's preference for the 2nd Law definition as compared to the Hyperphysics link, which is: "Second Law of Thermodynamics: It is not possible for heat to flow from a colder body to a warmer body without any work having been done to accomplish this flow. Energy will not flow spontaneously from a low temperature object to a higher temperature object." In fact, MattJ found it necessary to explain what "compensating changes" meant....which is clearly stated in the Hyperphysics definition. Both defintions say the same thing....as one would expect. ------------------------- MattJ seems to have missed the point of the Sun being the ONLY energy source. He said... "But we have both of these compensating changes: mechanical work is done on the atmosphere itself as it is heated by radiation, and energy is added from the sun." What MattJ is trying to say is that there is "mechanical work" done to move heat energy from a Colder atmosphere to a Warmer Earth. This would have to be the equivalent of a Refrigerator in the sky....which does not exist. In fact, actual measurements conducted at the Physics Dept.of Brigham Young University, Utah clearly shows this: ------------------------ Solar Cookers and Other Cooking Alternatives "The second area of solar cookers I looked at was their potential use for cooling. I tested to see how effective they are at cooling both at night and during the day. During both times, the solar cooker needs to be aimed away from buildings, and trees. These objects have thermal radiation and will reduce the cooling effects. At night the solar cooker needs to also be aimed straight up towards the cold sky. During the day the solar cooker needs to be turned so that it does not face the Sun and also points towards the sky. For both time periods cooling should be possible because all bodies emit thermal radiation by virtue of their temperature. So the heat should be radiated outward. Cooling should occur because of the second law of thermodynamics which states that heat will flow naturally from a hot object to a cold object. The sky and upper atmosphere will be at a lower temperature then the cooking vessel. The average high-atmosphere temperature is approximately -20 °C. So the heat should be radiated from the cooking vessel to the atmosphere." http://solarcooking.org/research/McGuire-Jones.mht This link shows that heating cannot occur from the atmosphere. In fact, the article shows how to COOL items placed in the Solar Oven at NIGHT AND DAY! All you have to do is point the Oven away from the Sun during the Day and the Oven will transfer heat from the WARM object in the Oven to the COOLER atmosphere! It can even be used to produce ICE when the ambient air temp is +6 deg C! "If at night the temperature was within 6 °C or 10°F of freezing, nighttime cooling could be used to create ice. Previous tests at BYU (in the autumn and with less water)achieved ice formation by 8 a.m. when the minimum ambient night-time temperature was about 48 °F." This confirms the validity of 2nd Law of Thermodynamics....heat energy CANNOT flow from Cold to Warm objects. And, there is no Refigerator in the sky to force energy flow from Cold to Warm. ------------------------------ PS: Matt, I don't see any relevance of your posts to my Post #244.
  5. I have read some toung in cheek remarks about volcanic activity in the oceans. Even a bit of back handed humor. The ability to simply negate the data or simply make the statment that "I don't have the time to investagate the possibilities" seems a bit negitive. Can anyone be so positive of a condition that they simply ignore other possibilities? Solar radation is an extream factor in earth heating or cooling. Any changes in the suns activity will cause weather and temperatures change. The argument that solar flair activity has not effected the earth temperature has yet to be proven. Techtonic activity according to USGS is more active in this centry than any other centery. Yet this inofrmation is being ignored. (Before anyone jumps on the train lets see which way it goes.) Volcanic activity causes cooling, not heating of the atmosphere. Dust particles tend to block the heat and cool the temperagure of the earth. However, underwater volcanic activity does two things. One, it heats the waters through magma flow welling up through the cracks within the crust, and saturates the water with CO2, two it changes the prevailing currents of the oceans. Recent events has cuased the currents to change in one part of the world, when a 100 foot tall 1000 mile wall welled up Near Indonisa. Thus, chanigng the water currents forever in that area. Before we jump on one wagon, shoulden't we be examining every aspect of this situation, rather than simply pointing to one suspect and yelling. "He's the guilty party!" Not only is it non scientific but smacks of politics, more than science. Tom R.
  6. Okay, let me ask this question. If we suddenly decrease the amount of CO2 by lets say, 10%. How much will that drop the over all global temperature? How much moisture is in the atmosphere at this moment? Where will that moisture go when the temperature suddenly drops? Has anyone considered the results of a sudden drop in over all CO2 content in the atmosphere. Tom .R
  7. Re: #244 Here is a link to Trenberth's paper: Earth’s Annual Global Mean Energy Budget http://www.atmo.arizona.edu/students/courselinks/spring04/atmo451b/pdf/RadiationBudget.pdf The Sun is the ONLY energy source in Trenberth's Energy Budget diagram. The Earth and the Earth's atmosphere are NOT energy sources. Look at Fig.7 The earth’s annual global mean energy budget ----------------------- The Law of Conservation of Energy states: "ENERGY CAN NEVER BE CREATED OR DESTROYED". Fig.7 of the Energy Budget shows: - Incoming Solar Energy, at the top of the atmosphere, to be 342 w/m^2. - Surface Radiation of the Earth is 390 w/m^2!!! EVEN IF ALL THE INCOMING 342 WATTS/M^2 OF SOLAR ENERGY REACHED THE EARTH'S SURFACE (which it does not)...IT IS IMPOSSIBLE FOR THE EARTH'S SURFACE TO RADIATE 390 WATTS/M^2!! Since the SUN is the ONLY energy source....Trenberth has the Earth's Surface CREATING ENERGY! This is ABSOLUTE PROOF that Trenberth's Energy Budget VIOLATES THE LAW OF CONSERVATION OF ENERGY!
  8. To all of you that have been saying I am wrong about The Solar Wind: Nasa says otherwise: "Temperatures of the plasma at the earth are found to be about 150,000°K, approximately a factor of ten lower than the estimates for the temperatures of the bulk of the coronal plasma found in the upper atmosphere of the Sun." Please click on the RED link above for their page and full explanation.
  9. Gord - With regards to the second law of thermodynamics, what it says about spontaneous heat flow only being from warmer to cooler and not the other way around - it is important to remember that this is NET flow. The NET flow of heat can be and often is the difference between two larger values, the heat flow only in one direction and the heat flow in the opposite direction. The net radiant heat flow between a red hot object and a white hot object is from the white hot object to the red hot object, but there is radiation going in both directions; furthermore, that radiation could be passing through another object which may be blue hot or as cold as space - depending on it's optical properties, it may participate in the radiant heat flows, with some net heating or cooling, but however it works out, the net heat flow between just two of whatever number of objects is involved is from hotter to colder. The difference between 390 and 342 is 48. That is the radiant cooling of the surface of the Earth to the cooler atmosphere and the cold of space. It is less than the solar heating of the surface; the difference is balanced by convection, which tends to link changes in temperature between the surface and various levels of troposphere together, because heating one part up without heating the other parts changes the convection rates in such a way as to heat up the other parts, generally; above the troposphere, convection is much less important in the global average vertical energy fluxes - but there is some large-scale overturning driven by a small upward flux of kinetic energy from below (generated by the heat engine of the troposphere when hot air rises and cold air sinks, etc.); this upper level overturning IS a refrigerator/heat pump - the kinetic energy is used to cool off parts that are colder and heat up parts that are warmer, across latitudes.
  10. black2deep - "The argument that solar flair activity has not effected the earth temperature has yet to be proven. Techtonic activity according to USGS is more active in this centry than any other centery. Yet this inofrmation is being ignored. (Before anyone jumps on the train lets see which way it goes.) Volcanic activity causes cooling, not heating of the atmosphere. Dust particles tend to block the heat and cool the temperagure of the earth. However, underwater volcanic activity does two things. One, it heats the waters through magma flow welling up through the cracks within the crust, and saturates the water with CO2, two it changes the prevailing currents of the oceans. Recent events has cuased the currents to change in one part of the world, when a 100 foot tall 1000 mile wall welled up Near Indonisa. Thus, chanigng the water currents forever in that area. Before we jump on one wagon, shoulden't we be examining every aspect of this situation, rather than simply pointing to one suspect and yelling. "He's the guilty party!" Not only is it non scientific but smacks of politics, more than science. " Lack of proof or disproof can leave possibility, but when well-understood apects of a system account for the observations quite well, it's a reasonable expectation that the unknowns are not so important. Furthermore, without proposing at least some plausable or feasable mechanism to connect one phenomena to another, simply asserting that one might be connected to the other is not particularly useful - the same argument method could be used to suggest just about anything - hence the logic of Occam's razor. What is the significance of a connection? Just about everything may be connected somehow, someway, to everything else, but not all connections are equal or of the same type. If it could be shown that changes in the solar wind and geomagnetic field are somehow causing a climate change that is significant relative to anthropogenically-forced effects, it would not necessarily be a significant change in global average temperature with the same significant regional and seasonal variations as caused by any other forcing. Obviously solar UV variability will have some effect on upper atmospheric conditions that are different than greenhouse effect changes (something climatologists are aware of). The solar wind, by affecting the magnetosphere, can affect the ionosphere, but what do any of the resulting changes do to the troposphere and stratosphere? The great majority of geothermal heat flux at the surface is from the slow steady heat transport through the crust; very little is direcly from volcanism, and so it is hard for geothermal heating to fluctuate much on global and regional scales; the heat flux itself is generally on the order of 0.1 W/m2, much smaller than just anthropogenic CO2 forcing thus far; much much greater forces (Winds, climate-driven buoyancy variations, tides) shape the ocean's conditions and dynamics and variability in these dwarf any short-term volcanic effects (Panama wasn't built in a single millenium). Geologic outgassing of CO2 is very slow and can only act to change climate signicantly over time periods of at least hundreds of thousands of years.
  11. ""Temperatures of the plasma at the earth are found to be about 150,000°K, approximately a factor of ten lower than the estimates for the temperatures of the bulk of the coronal plasma found in the upper atmosphere of the Sun." Please click on the RED link above for their page and full explanation." I read it. What is the point you think it makes?
  12. Gord - in case this helps visualize the situation: if I'm the white hot object and you're the red hot object, that the net direct thermal radiation exchange between them must be from me to you and not the reverse does not imply that there is no radiation in the opposite direction, for if it did, it would imply that I could not see you. The second law of thermodynamics actually implies that at any given wavelength, if you can see me, then I can see you. An optical filter could be used so that my yellow and blue wavelengths would reach you but neither of us could see each other's red wavelengths. For that matter, you're emissivity and absorptivity (they must be equal if at local thermodynamic equilibrium, and if not in local thermodynamic equilibrium, then otherwise cool objects might appear hot - as in fluorescence, etc. - the second law of thermodynamics would still apply but there would be some flow of energy not associated with a simple measure of temperature in that case (work, free energy, etc.)) could be zero at those shorter wavelengths, and then I couldn't see you and, since you wouldn't absorb any of my shorter-wavelength radiation, you wouldn't 'see me' either; the point being that seeing each other is a two way street - if I am smaller or have lower emissivity at any given wavelength, that reduces the direct radiative energy exchange in both directions between us, as I would emit less to you and absorb less from you, etc. (PS what if my shorter wavelengths were blocked by an obstacle but the red wavelengths could pass between us - well, the net radiant energy flux would still be from me to you because for a given emissivity (as a function of wavelength that is not changing in this scenario), radiant intensity increases at all wavelengths as temperature increases; it only increases much more at shorter wavelengths. If a blue hot object were in between us and it were opaque, we couldn't see each other; there would be no direct radiant energy flux between us (at the wavelengths for which this occurs). If it were transparent, we couldn't see it and it couldn't see us; our radiation would pass through it and it would be as if it weren't there. If it were perfectly reflective, we'd only see ourselves (in that direction), and effectively radiating to objects with the same temperature and getting the same back (in that direction). If it were somewhere in between, one could describe the total radiant energy flow among the three objects as the sum of three parts: the direct radiant exchange between you and me, the direct exchange between you and the blue-hot object, and the direct exchange exchange between me and the blue-hot object; each individually has a net energy transfer from warmer to cooler; the total gain or loss by each depends on the optical properties and temperatures (and sizes and distances, etc.) of all three. Yes, with radiation, what you see is what you get; the exchange of energy among objects of finite size, with neither enveloping the other, (as opposed to two infinite sheets or concentric spheres) that are farther apart, is smaller because they appear smaller to each other. The intensity - the radiant flux per unit solid angle (analogous to how bright an object looks within a given unit of the field of view) - is conserved in the absence of absorption, emission, and reflection and scattering (it is even conserved during refraction in the absence of those other things). What if there is no net energy exchange? If you wrap a white hot object in perfect mirrors (that have zero thermal conductivity and are not fluids), there is no net energy flow, but if you stepped inside the white hot object, you'd see radiation coming from the object and going back to the object equally in any two opposite directions. --- The sun heats the Earth and atmosphere. Earth loses heat to the atmosphere and space. There are convective fluxes from the surface to the troposphere. There are radiative fluxes among the surface, space, and all levels of the atmosphere; there is net radiant cooling to space from both the surface and all parts of the atmosphere, which is about equal to the total radiant fluxes from the surface and all parts of the atmosphere, since space is radiating very little (it looks like a blackbody near absolute zero). This is in total balanced by solar heating, but not everywhere, because there are net radiant fluxes among the surface and levels of the atmosphere, which all combined, and combined with convection, including horizontal heat transport, averaged over the year and over interannual variability, for a steady long-term climate, balance the spatial displacment between solar heating and longwave cooling to space. The flow of entropy is equal to thermal energy divided by temperature; for radiant energy, the entropy gained or lossed by an object by radiation is equal to the radiant energy gained or lossed divided by the temperature of the object. The direct net radiant energy fluxes between any pairing of subdivisions of the climate system is from warmer to cooler (provided the subdivisions are defined to be small enough so that they are each approximately isothermal within themselves - remember, 'local thermodynamic equilibrium'), which insures that, following the flow of energy, entropy is increasing, and as energy is conserved, entropy does not decrease. That satisfies the second law of thermodynamics. Of course the entropy of the climate system can fluctuate up and down a little as the flow of entropy and energy to space can fluctuate; this does not violate the second law of thermodynamics. If equilibrium temperature were determined by radiation along, the lowermost atmosphere would be unstable to convection (in general - not at the poles, at night, etc., but for a representative global average). Convection tends to maintain the change in temperature with height (the lapse rate) near a moist-adiabatic lapse rate - with regional variations, of course. From idea gas laws, it can be shown that warm air rising and cold air sinking, either by localized overturning (cumulus convection) or larger scale overturning (Hadley cells, Walker circulation, monsoons, extratropical baroclinic waves), converts some thermal energy into kinetic energy, as in a heat engine. Ultimately the kinetic energy is lossed to friction, thus turning into thermal energy, but with a different distribution, with higher entropy. There is not much recycling of kinetic energy to kinetic energy after frictional dissipation. However, kinetic energy can be converted back into thermal energy when wind blows from low pressure to high pressure, and cold air is forced to rise as warm air sinks. This can and does happen under some conditions. Kinetic energy is very important as winds and currents are important in shaping the climate, but it involves a rather small amount of energy in comparison to the thermal energy budget of the climate system.
  13. "Ultimately the kinetic energy is lossed to friction," I meant "lost" "but it involves a rather small amount of energy in comparison to the thermal energy budget of the climate system." And so one can, at least on the large scale and in general, approximate the thermal energy budget without considering conversion to and from kinetic energy.
  14. Re: Post # 253 Patrick - Here is the 2nd Law of Thermodynamics: "Second Law of Thermodynamics: It is not possible for heat to flow from a colder body to a warmer body without any work having been done to accomplish this flow. Energy will not flow spontaneously from a low temperature object to a higher temperature object." http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/seclaw.html#c3 I don't see any mention of "NET" heat flow. I do see the words "not possible" though.....unless work is done to accomplish this flow. Work would involve the natural creation of an equivalent "refrigerator in the sky" which does not exist. This is proven by actual measurements conducted at the Physics Dept.of Brigham Young University, Utah. (see my post #246) ------ Also, you have not addressed the fact that "the Sun is the ONLY energy source" in Trenberth's energy budget diagram. Unless the Earth "created" energy....It cannot radiate more energy than it receives. This the most basic fundamental physics. Clearly, the 390 w/m^2 that the surface of the Earth radiates exceeds the in-comming Solar radiation of 342 w/m^2. Unless you have a different "definition" of the Law of Conservation of Energy ("ENERGY CAN NEVER BE CREATED OR DESTROYED") then 390 is greater than 342 and therefore VIOLATES the Law of Conservation of Energy.
  15. THERE IS a refrigerator in the sky - in which, above the tropopause, kinetic energy emanating from below does work, lifting colder air and pushing warmer air down. Because of changes in pressure, rising air cools adiabatically and sinking air warms up adiabatically - in this adiabatic process, there can be a net reduction or gain in thermal energy as some kinetic energy is either produced or consumed (does work). When warm air rises past sinking cold air, the average temperature decreases; the change in thermal energy corresponds to a gain in kinetic energy. The reverse can happen, and has importance particularly above the tropopause; it is most obvious in the mesosphere, where circulation driven by kinetic energy from below cools off the coldest air. But that involves a rather small amount of energy and can be ignored to a first approximation in accounting for the heat energy budget of the climate system. The radiant heat transfered from the atmosphere to the surface is less than that transferred from the surface to the atmosphere, and that does not violate any physical laws. -- "I don't see any mention of "NET" heat flow." Okay, but that's what they mean. The world doesn't make sense if otherwise - why? Consider this: if the sun were next to a blue-hot star, would the sun (that part of it facing the blue-hot star) go dark simply by being next to the other star? Does no light from the sun reach any star that is hotter? With a powerful enough telescope, I am quite sure you could see the sun from Sirius. What you are saying suggests otherwise, that the sun's light must not reach anywhere where temperatures are greater than the sun's photosphere. That when there is a lightning bolt, any photons from the sun must avoid it. --- Where is energy being created? Add up all the thermal fluxes into the surface, out of the surface, and you will see they are equal (for equilibrium conditions). Do the same for the atmosphere; you will find the same result. The atmsophere and surface both radiate in each other's directions and recieve some of each other's emissions. This happens because while one is colder than the other, niether is at absolutely zero, nor is either perfectly transparent at all relevant wavelengths. The atmosphere does thermally emit radiation, and some of it reaches the surface.
  16. Just to be absolutely clear: "Unless the Earth "created" energy....It cannot radiate more energy than it receives." It IS NOT radiating more than it recieves. You insist the sun is the only source of energy here, which is essentially true (geothermal and tidal heating are minute in comparison), but you seem to be forgetting about it here. The surface gets heat from the sun and the atmosphere. The atmosphere gets heat from the sun and the surface. Here's why: Start at absolute zero on Earth, so nothing is radiating any energy. Turn on the sun. The surface and atmosphere now recieve heat. Neither is radiating any heat. Thus they are gaining thermal energy. Temperatures increase. Temperatures increase until the surface and atmosphere combined radiate to space the same amount of energy per unit time that they together absorb from the sun. But within that system, there is additional radiation back and forth, because the atmosphere absorbs some of the radiation from the surface, and the atmosphere radiates some energy downwards (in fact, different parts of the atmosphere radiate energy to and from each other, and because the lower atmosphere is generally warmer than the upper atmosphere (the thermosphere, etc, is a very small fraction and doesn't have much direct effect on energy budgets of other layers), the atmosphere actually radiates more strongly downwards than upwards - it looks warmer from below than from above because the cooler upper atmosphere blocks some radiation from the warmer layers beneath, and vice versa in the other direction)). The surface temperature will rise (or fall) until it's combined heat loss from radiation and convection balances it's heat gain from the sun and atmosphere. Each layer of the atmosphere will also have changes in temperature until it's heat loss by convection and radiation balances it's heat gain from convection and radiation, including radiation from the sun.
  17. Another example of NET heat flow that you might have more familiarity with: If you have a hot object and a cold object in a room and turn a fan on to circulate the air, convection will tend to bring heat from the hot object and to the cold object. However, unless the air is ever at absolute zero, there will be some heat energy transported to the hot object; it will just be less than what is removed (air leaving the hot object will be hotter than air approaching it, but the air approaching it can have some non-zero temperature, and thus does have some heat energy, and when it comes into contact with the surface, heat energy can be exchanged in both directions as molecules bounce against each other, but the net effect is to transfer heat from the hotter object to the cooler air).
  18. Gord - (continued): ... When that colder air comes into contact with the hot object, the greater thermal energy of the hot object's particles (molecules, etc.) is such that collisions on average transfer energy to the colder air molecules; however, at any given temperature, there is a distribution of energies of the particles, and occasionally, an energetic molecule in the cold air will collide with a less energic molecule of the hot object. Taken all such collisions as a subset of the whole process, one finds a transfer of energy from the cold air to the hot object. This is less than the reverse transfer by all other collisions. And so on with thermal diffusion through the air. Random particle motions tend to spread out particles from one area over time. Collisions are very important, but even without them, over time, heat will diffuse outward from a hot region and inward to a cold region; the same mechanism tends to result in mixing of substances, such as when the aroma of bread spreads out in the air (although convective transport - turbulent mixing, as opposed to molecular diffusion - is often important as well in that process). But this motion is random, which means that some particles with greater energy will occassionaly approach the hotter region, etc. Also, most molecules at any given time will have some thermal energy (or else they would not be moving and so diffusion would be impossible), so the less energetic molecules that diffuse into the hot region still carry some thermal energy with them; it just happens to be, on average, less than the energy which is being taken away. Notice that thermodynamics deals with temperature and thermal energy, which deals with the kinetic energy of a distribution of random particle motions, that approaches an equilbrium DISTRIBUTION as energy becomes 'thermalized' - maximizing the entropy for a given amount of energy and reducing the free energy so that the substance as a whole can be described with a single temperature (in the absence of collisions, seperate populations of particles could move through each other while retaining their initial temperatures). Thus, thermodynamics necessarily involves statistics and probability distributions; the net effects are the sums of many individual random events. The most succinct way to state the second law of thermodynamics is that the entropy of a closed isolated system never decreases; it can decrease if the system is not closed or not isolated and interactions occur such that the production of entropy elsewhere allows a reduction in entropy in the system. The flow of entropy is equal to the flow of heat energy divided by temperature. When heat energy flows from hot to cold, the entropy of the cold body increases more than the entropy of the hot object decreases because the same heat energy entering the cold body brings more entropy per unit energy into the cold body than it takes upon leaving the hot body. A heat engine works by converting some heat to work (free energy); this can be done when there is a temperature difference. Heat energy flows in at a high temperature (low entropy per unit energy), some of it is converted to work (essentially zero entropy per unit energy), and the remainder flows out at a cold temperature (high entropy per unit energy). Entropy tends to increase; the maximum possible efficiency of a heat engine - the ratio of work produced per unit heat inflow at the hot temperature - is determined by what would conserve entropy. A smaller amount of heat energy flowing out at a colder temperature can carry the same entropy as a larger amount of heat energy flowing at a higher temperature, and the difference in energies is the available free energy. (If a heat engine were run off of an isolated source of cold (ice cubes), then the efficiency could be defined instead as the work per unit heat outflow at the cold temperature. This will generally be a different value than the other efficiency.) A heat engine working in reverse is a heat pump - a refrigerator if the enhancement of cold is the purpose. The maximum coefficient of performance possible is determined by what would just conserve entropy; for the same difference in temperature, it involves the same ratio of free energy to heat flow at the high temperature and free energy to heat flow at the cold temperature as those for a heat engine, except the coefficients of performance are the reciprocals of those ratios. Entropy also increases when two substances are mixed, and variations in composition can be a source of free energy - for example, in reverse osmosis, work is done to remove salt from water. Osmosis could be used to generate usefual energy from the mixing of fresh water and salt. Of course, there are other complexities; entropy depends on temperature and mixing can produce a change in the thermal energy. In general, any process (physical, chemical, etc.) can happen spontaneously if, taking into account diffusion, changes of state, changes of heat energy and temperature, pressure, etc, the total entropy increases. Thermodynamic equilibrium occurs when entropy is maximized (for a system in isolation - no mass or heat inflow or outflow); a system that is not in thermodynamic equilibrium possesses some available free energy; rather than destroying the free energy approaching thermodynamic equilibrium, one could allow a much smaller increase in entropy while extracting work from the system, until a different equilibrium is reached (it won't be the same equilibrium because the system has exchanged at least energy with it's surroundings). Kinetic barriers may exist that prevent a system from spontaneously reaching thermodynamic equilibrium or slow that process; such barriers can be used to regulate processes to preserve free energy; in some chemical and physical reactions, catalysts can form a tunnel through such barriers, making the barrier much smaller. --- You refer to this website: http://solarcooking.org/research/McGuire-Jones.mht in your comment 248 above. Going just by the excerpt that you provide, there is no proof that radiant heat is not recieved by the surface from the atmosphere. What is demonstrated is that this radiant heat flux is less than that upward from the surface (and the solar cooker). The excerpt even contains a statement that substances (depending on optical properties) thermally emit radiation according to their temperature. This emission only goes all the way to zero when the temperature goes all the way to zero - or when the substance is perfectly transparent and/or reflective. At any given wavelength, a material will emit radiation as a function of temperature and the material's emissivity; at local thermodynamic equilibrium, emissivity = absorptivity, and emissivity cannot be less than 0 or greater than 1. A perfect blackbody has emissivity = absorptivity = 1. Blackbody radiation intensity (energy flux per unit area per unit solid angle - multiplying by the cosine of the angle from the perpendicular to a surface and integrating over all directions that pass through the surface from one side to another gives the radiant flux per unit area from or passing through the surface in that direction relative to the surface) at any given wavelength, per unit wavelength, increases at all wavelengths as temperature increases, but increases much more at shorter wavelengths.
  19. Because many common processes do not involve nuclear reactions, thermodynamic properties are often calculated without taken into account entropy and free energy associated with nuclear reactions. This essentially leaves those processes out of the defined system. Without changing the definition of the system, nuclear reactions would occur outside the system and potentially add to and/or take from the system mass, energy, and entropy; alternatively, one can evaluate the thermodynamics of nuclear reactions as part of a system.
  20. Patrick - Re: Your posts #259 and #260 You said that "THERE IS a refrigerator in the sky" and "Going just by the excerpt that you provide, there is no proof that radiant heat is not recieved by the surface from the atmosphere." I disagree with both your statements. This contradicts the actual measurements conducted at the Physics Dept.of Brigham Young University, Utah clearly which shows this: (Reposted from #248) ------------------------ Solar Cookers and Other Cooking Alternatives "The second area of solar cookers I looked at was their potential use for cooling. I tested to see how effective they are at cooling both at night and during the day. During both times, the solar cooker needs to be aimed away from buildings, and trees. These objects have thermal radiation and will reduce the cooling effects. At night the solar cooker needs to also be aimed straight up towards the cold sky. During the day the solar cooker needs to be turned so that it does not face the Sun and also points towards the sky. For both time periods cooling should be possible because all bodies emit thermal radiation by virtue of their temperature. So the heat should be radiated outward. Cooling should occur because of the second law of thermodynamics which states that heat will flow naturally from a hot object to a cold object. The sky and upper atmosphere will be at a lower temperature then the cooking vessel. The average high-atmosphere temperature is approximately -20 °C. So the heat should be radiated from the cooking vessel to the atmosphere." http://solarcooking.org/research/McGuire-Jones.mht This link shows that heating cannot occur from the atmosphere. In fact, the article shows how to COOL items placed in the Solar Oven at NIGHT AND DAY! All you have to do is point the Oven away from the Sun during the Day and the Oven will transfer heat from the WARM object in the Oven to the COOLER atmosphere! It can even be used to produce ICE when the ambient air temp is +6 deg C! "If at night the temperature was within 6 °C or 10°F of freezing, nighttime cooling could be used to create ice. Previous tests at BYU (in the autumn and with less water)achieved ice formation by 8 a.m. when the minimum ambient night-time temperature was about 48 °F." This confirms the validity of 2nd Law of Thermodynamics....heat energy CANNOT flow from Cold to Warm objects. And, there is no Refigerator in the sky to force energy flow from Cold to Warm. ------------------- The Trenberth Energy Budget shows that the Solar Radiation absorbed by the surface of the Earth is 168 Watts/m^2 and reflected by the surface is shown to be 30 Watts/m^2. Both these figures add up to 198 Watts/m^2 and would be available to any Solar Oven. The Trenberth Energy Budget shows that the Back Radiation flowing from the colder atmosphere and absorbed by the Earth's surface to be 324 Watts/m^2. (The Back Radiation ABSORBED by the Earth is, supposed, to Heat the Earth according to the AGW theory) Notice that the Back Radiation EXCEEDS the Solar Radiation (the only energy source)! Solar ovens (parabolic mirrors) have no problem concentrating the Solar radiation at it's focal point producing very high temperatures. Parabolic mirrors will concentrate IR energy (Back Radiation) the same way. Notice the authors of the paper state: "During both times, the solar cooker needs to be aimed away from buildings, and trees. These objects have thermal radiation and will reduce the cooling effects. At night the solar cooker needs to also be aimed straight up towards the cold sky. During the day the solar cooker needs to be turned so that it does not face the Sun and also points towards the sky." If there were a "refigerator in the sky" heat would flow from the colder atmosphere to the Solar Oven's focal point where this energy would be concentrated. In Fact, according to Trenberth, the Back Radiation exceeds the Solar Radiation and is 163% GREATER THAN THE SOLAR RADIATION. If there really was a "refigerator in the sky"...The water at the focal point would NOT freeze, it would HEAT UP.....even MORE than it does with Solar Energy! --- Further, the authors have correctly attributed the freezing of the water as complying with the 2nd Law of Thermodynamics: "For both time periods cooling should be possible because all bodies emit thermal radiation by virtue of their temperature. So the heat should be radiated outward. Cooling should occur because of the second law of thermodynamics which states that heat will flow naturally from a hot object to a cold object. The sky and upper atmosphere will be at a lower temperature then the cooking vessel. The average high-atmosphere temperature is approximately -20 °C. So the heat should be radiated from the cooking vessel to the atmosphere." --- There, clearly, is no "refigerator in the sky"....and the results of the actual measurements absolutely confirm the validity of the 2nd Law. "Second Law of Thermodynamics: It is not possible for heat to flow from a colder body to a warmer body without any work having been done to accomplish this flow. Energy will not flow spontaneously from a low temperature object to a higher temperature object." http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/seclaw.html#c3 So, we have an actual measurement that complies with the 2nd Law....this is not a surprising result! ------------------------------- ---------------------------- Patrick...you said... "Just to be absolutely clear: "Unless the Earth "created" energy....It cannot radiate more energy than it receives." It IS NOT radiating more than it recieves. You insist the sun is the only source of energy here, which is essentially true (geothermal and tidal heating are minute in comparison), but you seem to be forgetting about it here. The surface gets heat from the sun and the atmosphere. The atmosphere gets heat from the sun and the surface." Again, I disagree with the logic of your statement: 1. Trenberth's Energy Budget does not include ANY other energy source other than the SUN! 2. The Earth and the atmosphere receive their energy from the SUN. 3. The Earth and the atmosphere ARE NOT ENERGY SOURCES. Like I have stated in my Post #243... -------------- "There are only two significant energy sources that can directly affect the Earth's temp: 1. The Sun 2. The Earth's molten core. If these two energy sources were elliminated, the Earth would cool to near absolute zero. The Earth's atmosphere is NOT an energy source. The AGW'ers have produced an Energy Budget Diagram (which excludes the Earth's molten core, so I will as well) The Sun is the ONLY energy source in the following diagram. Here is a link to Kevin Trenberth's paper: Earth’s Annual Global Mean Energy Budget http://www.atmo.arizona.edu/students/courselinks/spring04/atmo451b/pdf/RadiationBudget.pdf --------------- The Law of Conservation of Energy is very clear..."ENERGY CAN NEVER BE CREATED OR DESTROYED" The In-comming Solar radiation (in Trenberth's paper) is only 342 w/m^2 and it is the ONLY ENERGY SOURCE. Even if ALL this energy (342 w/m^2) reached the Earth's surface and was ABSORBED it is IMPOSSIBLE for the Earth or the Atmosphere to radiate more than 342 w/m^2! Your posts seem to dispute this fact, but as part of your logic you have also violated the 2nd Law of Thermodynamics. Adding fluxes that include "a refrigerator in the sky" to force the Back Radiation to be absorbed by the Earth is the Violation of the 2nd Law. The actual measurements conducted at the Physics Dept.of Brigham Young University, Utah prove this. Further, "a refigerator in the sky" still would need energy to operate and it would have to come from the SUN! All the energy radiated by the Earth and the atmosphere could still NEVER EXCEED the 342 w/m^2 Solar Energy!
  21. Patrick - I forgot to include this. If there were "a refigerator in the sky" the atmosphere would have to be warmer than the Earth. A refigerator transfers heat from objects inside to the Radiating Tubes at the back. The Radiating Tubes are warmer than the surrounding air....so heat is transfered to the air. The atmosphere is, obviously, cooler than the Earth.....therefore...there IS NO REFIGERATOR IN THE SKY!
  22. Patrick "Temperatures of the plasma at the earth are found to be about 150,000°K" Magnetic holes allow some of this heat in. Gord Interesting points.
  23. Gord - Just to be absolutely clear: My point that there is a refrigerator in the sky (probably many at any given moment, actually) was really just an interesting aside; it has little to do with the overall energy budget as mapped out in Kiehl and Trenberth (a paper I have looked at more than once in the past; I'm glad you've had the chance to read it). "If there were a "refigerator in the sky" heat would flow from the colder atmosphere to the Solar Oven's focal point where this energy would be concentrated." That's only true with some additional specifications. There are both heat engines and refrigerators in the sky. Temperature variations produce pressure variations that cause air to accelerate so as to tend to lift warmer air and allow cooler air to sink. Kinetic energy can allow air to flow from low pressure to high pressure in some ocassions, having the opposite effect - this is when kinetic energy does work, is converted to heat energy, and drives a refrigerator. Meanwhile there is the coriolis effect which causes air to accelerate sideways in proportion to it's speed, depending on latitude, etc... -------- "For both time periods cooling should be possible because all bodies emit thermal radiation by virtue of their temperature. So the heat should be radiated outward." Ask yourself this: If the atmosphere above were hotter (And sufficiently opaque - let's say cloudy) than the solar cooker, the solar cooker would not cool off by radiating upward. But why? It is not because it stops radiating altogether, because: "all bodies [ with nonzero absorptivity and nonzero emissivity ] emit thermal radiation by virtue of their temperature.". Remember those trees and buildings continue to radiate as well, and that does not change if the temperature changes (unless material properties change as a result - the obvious example is that if the trees get to hot, they'll combust, etc.) The reason the solar cooker would not cool off in that case is NOT because it suddenly stops radiating thermal energy, but because the atmosphere is radiating a greater amount back. Now back to the more usual situation: The atmosphere does radiate some thermal energy back to the surface, because it is not 100% transparent at all relevant wavelengths, and it is not so cold as to be at absolute zero. If it were that cold, or if it were 100% transparent so as to reveal to the surface the entirety of the dark of space, that solar cooker would cool off much faster - not because it radiates more, but because it would now recieve essentially ZERO radiation from above. (PS It would actually be necessary to raise the atmospheric temperature (over all vertical levels) to somewhat above the surface temperature in order to balance the emitted radiation with back radiation, because at the same temperature, the atmosphere (at least in the absence of clouds or very high specific humidity) is partially transparent over a range of wavelengths from about 8 to 12 microns.) If you still don't believe me, consider this: Imagine the Earth's surface is a hot magma ocean (it may well have been that shortly after planetary formation). Suppose it is glowing red hot, as we would expect based on it's temperature. Suppose the atmosphere is such that some of this glow is visible from space. This is the thermal radiation emitted due to the Earth's surface's temperature. But it is only red hot - it cannot cool to the sun, which is about white hot. Does this mean that the Earth is not visible from the sun? Not easily, but you'll still see it with a good enough telescope - let's say you're a superhuman with a super telescope and both survive such conditions. Photons from the Earth are reaching the Sun. There is a flow of heat from the Earth to the Sun. It just happens to be less than the flow of heat from the Sun to the Earth. The Earth is cooler than red hot, but it does emit thermal radiation to space, and a small fraction reaches the sun - it is only small because the sun does not surround the Earth but only fills a small solid angle as seen from the Earth. --- ""There are only two significant energy sources that can directly affect the Earth's temp: 1. The Sun 2. The Earth's molten core." " ... "If these two energy sources were elliminated, the Earth would cool to near absolute zero." Why would the Earth cool if energy sources were eliminated? Might it be because it would continue to radiate to space as a function of it's temperatures, rather than simply shut down such radiation as a result of the loss of the sun? ---- "All the energy radiated by the Earth and the atmosphere could still NEVER EXCEED the 342 w/m^2 Solar Energy!" Using Kiehl and Trenberth's numbers, because only 235 W/m2 are absorbed by the Earth, only 235 W/m2 can be emitted by the Earth to space - if the temperature of the Earth is not changing (ie there is no net gain or loss of heat, or sufficient rearrangements of heat energy, etc...). But that is the radiant flux to and from the Earth as a whole, including the atmosphere. The entirety of the 390 W/m2 radiated by the surface does not go to space; the great majority is absorbed by the atmosphere. To a first approximation, none of the backradiation from the atmosphere goes to space, either. At no point in Kiehl and Trenberth's diagram is energy being created or destroyed (except the sun - but that's a conversion of energy, not creation ex nihilo) or is the second law of thermodynamics being broken.
  24. Quietman - remember comments 467,469: http://www.skepticalscience.com/Arctic-sea-ice-melt-natural-or-man-made.html What happens when you take 1 gram at 150,000 K and toss it into a pile of mass 30,000,000,000,000,000 g. What is the temperature change of the 30,000,000,000,000,000 g? Assuming similar specific heat values, it would be around 0.000000000005 K. 1/30,000 mol in 1 g; 1/30 mol in 1 L, 1000/30 +~ 30 mol / cubic m. 30 mol* 10,000 m /10,000 cm2/m2 = 30*6.02*10^23 / 6 = 30*10^23; 1000*10^23 by mass, 10^26 div by 30e6 s/yr = 10^20/30 = 100*10^18/30 = ~ 3e18 ratio 3e18 , 100 years, 3e16 = 30e15,
  25. Forget the last two paragraphs; that was prep work to come up with an appropriate comparison.

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