Uncategorized: Practice Problem & Solution

Solution Explained:

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

For an adiabatic process, $P_1 V_1^\gamma = P_2 V_2^\gamma$. For a monoatomic gas, $\gamma = 5/3$. Substituting $V_2 = V_1 / 8$, we find $P_2 = P_1 (8)^{5/3} = 32 P_1$.