The pressure and density of a diatomic gas () change from () to () adiabatically. If , then what is — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

For an adiabatic process, $P V^\gamma = \text{constant}$. Since density $d \propto 1/V$, this translates to $P/d^\gamma = \text{constant}$. $P_2/P_1 = (d_2/d_1)^\gamma = (32)^{7/5} = (2^5)^{7/5} = 2^7 = 128$.