A gas undergoes adiabatic reversible expansion. Which of the following expressions holds good?

A gas undergoes adiabatic reversible expansion. Which of the following expressions holds good?

A
$p V = constant$
B
$p V^{γ} = constant$
C
$p^{γ} V = constant$
D
$p^{C_{p, m}} V^{C_{V, m}} = constant$

Solution:

For adiabatic reversible expansion $p V^{γ} = constant$ where $γ = C_{p, m} / C_{V, m}$

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