Question

The temperature of inversion of a gas is given by

Answer 1

I has to do with the Joule-Thompson effect. This effect describes the temperature change of an real gas, which undergoes an expansion at constant enthalpy. The temperature change is described by the Joule-Thompson coefficient:  

µJT = ∂T/∂p  

At the inversion temperature the coefficient changes its sign.  

For higher temperatures it is negative and the gas heats up due to expansion.

:D cheers!!