The polytropic law states:
(1) P1V1n = P2V2n
The perfect gas equation states:
PV = mRT --> P1V1/T1 = P2/V2/T2
If T1 = T2 then
(2) P1V1 = P2V2
So, how can equation 1 and 2 both be true for the same gas? If the gas follows a polytropic process, where n ≠ 1, how can 2 be correct when there is no temperature change?
(1) P1V1n = P2V2n
The perfect gas equation states:
PV = mRT --> P1V1/T1 = P2/V2/T2
If T1 = T2 then
(2) P1V1 = P2V2
So, how can equation 1 and 2 both be true for the same gas? If the gas follows a polytropic process, where n ≠ 1, how can 2 be correct when there is no temperature change?