Kinetic Theory of Gases: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

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, $a = 16b$.