Match Column I with Column II for a van der Waal's gas. — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Free volume ($V-nb$) depends on total volume (thus pressure, R), and excluded volume $b$ (nature of gas P, radius of molecule S). Critical temp ($8a/27Rb$) and Boyle's temp ($a/Rb$) both depend on $a$ and $b$, making them dependent on the nature of gas (P), constant for that gas (Q), and dependent on molecule radius via $b$ (S). Compressibility factor $Z$ depends on pressure (R), the nature of the gas parameters $a$ and $b$ (P), and molecular radius through $b$ (S). Therefore, correct answer is 1-A, 1-C, 1-D, 2-A, 2-B, 2-D, 3-A, 3-B, 3-D, 4-A, 4-C, 4-D.