Match Column I with Column II for a van der Waal's gas. Column I: (A) Free volume (B) Critical tempe — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

(A) Free volume $=V-nb$: depends on nature of gas (P), pressure (R, since $V$ varies), molecular radius via $b$ (S). (B) Critical temperature $T_c=8a/27Rb$: depends on nature of gas (P), is constant for given gas (Q), depends on molecular radius via $b$ (S). (C) Boyle's temperature $T_b=a/Rb$: same as $T_c$ — P, Q, S. (D) Compressibility factor $Z=PV_m/RT$: varies with nature of gas (P), pressure (R), and molecular radius via $b$ at high pressure (S).