Rankers Physics
Topic: Thermal Physics
Subtopic: Kinetic Theory of Gases

For hydrogen gas $C_p - C_v = a$ and for oxygen gas $C_p - C_v = b$, so the relation between $a$ and $b$ is given by: (1991)
$a = 16b$
$16b = a$
$a = 4b$
$a = b$

Solution:

Here $C_p$ and $C_v$ are specific heats per unit mass. For a gas, $C_p - C_v = \frac{R}{M}$. For hydrogen ($M=2$), $a = \frac{R}{2}$. For oxygen ($M=32$), $b = \frac{R}{32}$. Therefore, $a = 16b$.

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