A thermally insulated vessel containing a gas whose molar mass is equal to 40 and ratio of specific — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

Kinetic energy equates to internal energy change: $\frac{1}{2}mv^2 = n C_V \Delta T = \frac{m}{M} \frac{R}{\gamma-1} \Delta T$. Resolving for $\Delta T$ yields $\frac{v^2 M (\gamma-1)}{2 R} = \frac{(100)^2 (0.04) (0.5)}{2 (8.314)} = \frac{200}{16.628} \approx 12.03^\circ\text{C}$.