For the adiabatic expansion of an ideal gas:

Options

A. `PV^(gamma)=` constant
B. `TV^(gamma-1)=` constant
C. `T^(gamma)P^(1-gamma)=` constant
D. All of these

Answer

D

Explanation

For adiabatic expansion `q=0`. Thus from `1` law `-DeltaU=-w` or `-w=-C_(v)n.dt`. The expression on integration leads to `W_(max)=(nR)/((gamma-1))[T_(2)-T_(1)]` having the relation `PV^(gamma)=` constant as an intermediate step. `TV^(gamma-1)`=constant and `T^(gamma).P^(1-gamma)`.=constant can be obtained by `PV^(gamma)`=constant