One mole of monoatomic ideal gas at is expanded from 1 L to 2 L adiabatically under a constant exter — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

In an adiabatic irreversible process, $W = \Delta U \implies -P_{ext}(V_2 - V_1) = n C_v (T_2 - T_1)$. Substituting the values: $-1 \text{ atm} \times (2 - 1) \text{ L} = 1 \text{ mol} \times \frac{3}{2} R \times (T_2 - T)$. $-1 = \frac{3}{2} \times 0.0821 \times (T_2 - T) \implies T_2 - T = -\frac{2}{3 \times 0.0821} \implies T_2 = T - \frac{2}{3 \times 0.0821}$.