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:

Given $\gamma = \frac{C_p}{C_v} = 1.5 = \frac{3}{2}$. In work units, $C_p - C_v = \frac{R}{J}$. Substituting $C_v = \frac{2}{3}C_p$, we get $C_p - \frac{2}{3}C_p = \frac{R}{J}$, leading to $\frac{C_p}{3} = \frac{R}{J}$, or $C_p = \frac{3R}{J}$.