For a monatomic ideal gas, $C_V$ and $C_P$ per mole are:
A$C_V = (3/2)R, C_P = (5/2)R$
B$C_V = (5/2)R, C_P = (7/2)R$
C$C_V = R, C_P = 2R$
D$C_V = 3R, C_P = 5R$
Answer & Solution
Correct answer: A. $C_V = (3/2)R, C_P = (5/2)R$
**Monatomic:** 3 DOF
⇒ Internal energy per mole = $(3/2)RT$ ⇒ $C_V = (3/2)R$.
**By Mayer:** $C_P = C_V + R = (5/2)R$.
$\gamma = 5/3 \approx 1.67$.
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