Match the column (assume is independent of temperature) — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

(A) $dU = nC_v dT$ is true for an ideal gas (P) and for a vdW gas if $dV=0$ (isochoric, S). (B) The full internal energy differential for a vdW gas is valid generally (Q) and inherently simplifies correctly if $dT=0$ (R) or $dV=0$ (S). (C) In an isothermal process ($dT = 0$), the first term vanishes, leaving $dU = n^2 a \frac{dV}{V^2}$ for a vdW gas (R).