Which of the following is true for reversible adiabatic process involving an ideal gas? — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

For an adiabatic process, $P^{1-\gamma} T^\gamma = \text{const} \implies T \propto P^{1 - 1/\gamma}$. The slope $dP/dT$ depends inversely on $1 - 1/\gamma$. A higher $\gamma$ means $1 - 1/\gamma$ is larger, making the derivative $dT/dP$ larger, which structurally means $dP/dT$ (the slope on a P-T plot) is smaller in magnitude.