What is the temperature of the gaseous mixture at the moment of explosion? — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

Using the adiabatic relation $T_1 V_1^{\gamma-1} = T_2 V_2^{\gamma-1}$ with $\gamma-1 = 0.4$ and $T_1 = 300\text{ K}$. $300 \times (320)^{0.4} = T_2 \times (10)^{0.4} \implies T_2 = 300 \times (32)^{0.4} = 300 \times (2^5)^{0.4} = 300 \times 2^2 = 1200\text{ K}$.