Came across a few scientists and their discussions about the climate sensitivity to CO2 concerning the gas law and adiabatic auto pressure which stems from the first law of thermodynamics.
Adiabatic heating occurs when the pressure of a gas is increased. The work done to compress the gas is directly proportional to the quantity of heat added:
ΔU = Q – W, where ΔU denotes the change of the system’s internal energy, Q the quantity of energy added to it as heat, and W the work done by the system on its surroundings.
T = P M / R ρ
T = near-surface atmospheric temperature in Kelvin
P = near-surface atmospheric pressure in kPa
R = gas constant 8.314 in (j) (mole^-1) (K^-1)
ρ = near-surface atmospheric density in kg/m³
M = near-surface atmospheric mean molecular weight (grams per mole)
Ideal gas law
pV = nRT
n = number of moles of gas
V = volume
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