Polytropic Process: Reversible, Irreversible, Definition, Formula

A polytropic process is defined by the relationship pV = C. For... | Filo

SOLVED:A polytropic process is specified by the requirement δQ / δT=c, where Q is the heat, T is the temperature, and c is a constant. Prove that for polytropic processes in an ideal gas the temperature T and volume V are related by (d T)/(T)=(1-γ) (d V)/(V) where the polytropic gamma is defined by γ=(CP-c)/(CV-c) with CP and CV the heat capacities at constant pressure and volume, respectively. Demonstrate explicitly that P^1-γ T^γ= constant P V^γ= constant T V^γ-1= constant are each solutio