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I have decided to adhere to convention and replace the n with an M.
This is to avoid confusion with n which is used by many as the number of moles – not the mean molecular weight.
So the formula is now;
T = PM/Rρ
T = near-surface atmospheric temperature in Kelvin
P = near-surface atmospheric pressure in kPa
R = gas constant 8.314
ρ = near-surface atmospheric density in kg/m³
M = near-surface atmospheric mean molecular weight (in grams per mole)
Where is the so-called ‘Greenhouse Effect’?
A GHE of the size claimed by the IPCC or the ‘mainstream’ climate scientists simply can’t be ‘baked in’ to this formula.
Firstly you have the ‘problem’ of the claimed 33C from the GHE, which because of the gas law results incorporating auto-compression has disappeared.
There is also the second problem that if the temperature can be accurately calculated by knowing just three gas parameters, then the climate sensitivity to CO2 has to be extremely low, not more than 0.02C which means that the CO2 alarm is totally unnecessary. In effect, the formula proves that ‘extra’ CO2 has no more effect than more of any other gas has on temperatures.
Here I present a hypothesis that the supposed 33C “greenhouse gas warming” of the troposphere does not in fact exist.
The suggestion, and the calculations show, that by using a derivative of the Ideal gas law, the 33C difference between the predicted Black Body Law temperature of 255 Kelvin and the measured global average temperature of 288 Kelvin, is actually caused by Auto-Compression.
The proof is that by using just three gas parameters; Pressure, Density and Molar Mass, the average near-surface temperature of any planetary body with an atmospheric pressure of more than 10Kpa can be accurately determined.
No separate input from solar insolation, albedo or the “greenhouse gas effect” is needed.
Here, I have rearranged the previous formula, on a suggestion by AfroPhysics on the “Climate Sophistry” website. I think it does make calculations a little simpler.
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