Question Bank MSQ • 2 Marks Section 5: Thermodynamics & Statistical Physics Phase transitions

QB_PH_149: Phase transitions

Question Statement

At the critical point of a van der Waals fluid ($P_c, V_c, T_c$):
(A) \left(\frac{\partial P}{\partial V}\right)_T = 0
(B) \left(\frac{\partial^2 P}{\partial V^2}\right)_T = 0
(C) The isothermal compressibility $\kappa_T$ diverges
(D) The distinction between liquid and vapor phases vanishes
Correct Answer
A, B, C, D
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: All conditions define the inflection point and onset of critical opalescence.
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