Which of the following mathematical relations appropriately apply when an ideal gas undergoes a reve — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

For a reversible adiabatic process: (A) $PV^\gamma = K \Rightarrow P \propto V^{-\gamma}$. (B) $TV^{\gamma-1} = K' \Rightarrow T \propto V^{1-\gamma}$. (C) $T^\gamma P^{1-\gamma} = K'' \Rightarrow T^\gamma \propto P^{\gamma-1}$. (D) Taking the log of $PV^\gamma = K$ gives $\log P + \gamma \log V = \log K$, resulting in a straight line $y = mx + c$ where the slope $m = -\gamma$. All are correct.