If the ratio , the change in internal energy of the mass of a gas, when volume changes from to at co — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

$\Delta U = n C_V \Delta T$. At constant pressure, $P \Delta V = n R \Delta T \implies P(2V-V) = PV = n R \Delta T$. Substituting $C_V = \frac{R}{\gamma - 1}$ yields $\Delta U = \frac{PV}{R} \times \frac{R}{\gamma - 1} = \frac{PV}{\gamma - 1}$.