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

💡 Solution & Explanation

Both $\text{H}_2$ and $\text{O}_2$ are diatomic gases, so the mixture acts as a diatomic gas with $\gamma = 1.4$. For an adiabatic process, $P_1 V_1^\gamma = P_2 V_2^\gamma$. $1\text{ atm} \times (320)^{1.4} = P_2 \times (10)^{1.4} \implies P_2 = (32)^{1.4} = (2^5)^{1.4} = 2^7 = 128\text{ atm}$.