adiabatic index

Question

Ratio C_p/C_v for ideal monoatomic gas is:

RankGuru · Accepted Answer

The adiabatic index ($\gamma$) is defined as the ratio of molar heat capacity at constant pressure to that at constant volume:
$\gamma = \frac{C_p}{C_v}$
For a monoatomic ideal gas:
- $C_v = \frac{3}{2} R$
- $C_p = C_v + R = \frac{5}{2} R$
$\gamma = \frac{5/2 R}{3/2 R} = \frac{5}{3} \approx 1.67$.

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adiabatic index

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