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:

Helium is a monoatomic gas ($C_v = \frac{3}{2}R$). The number of moles in $1 \text{ g}$ is $n = \frac{1}{4}$. The heat required is $Q = n C_v \Delta T = \frac{1}{4} \left(\frac{3}{2}R\right)(T_2 - T_1) = \frac{3}{8} N_A k_B (T_2 - T_1)$.