Deriving PV^n=constant for polytropic processes

Taniya Burns

Taniya Burns

Answered question

2022-07-22

Deriving P V n = constant for polytropic processes?

Answer & Explanation

bardalhg

bardalhg

Beginner2022-07-23Added 15 answers

The dU here is an exact differential:
d U ( T , V ) = ( U T ) V d T + ( U V ) T d V
rather than the derivatives you have. Hence, you cannot cancel the dT's and dV's as you've done.

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