Four different gases and their Vander Waal's constant are given below : ( R = 0.08 L − atm / K − mol ) List - I List - II (P) W (1) Gas having highest intermolecular force of attraction. (Q) X (2

Question

Four different gases and their Vander Waal's constant are given below : ( $R = 0.08 L - atm / K - mol$ )

List - I	List - II
(P) W	(1) Gas having highest intermolecular force of attraction.
(Q) X	(2) Gas having smallest size of molecules.
(R) Y	(3) Gas that can be liquefied at 85 K
(S) Z	(4) Gas resembles with ideal gas at nearly boiling point of water
	(5) Gas with highest boyle's temperature.

Codes :

TestHub · Accepted Answer

Question Explanation: Match gases with their van der Waals properties. Concept: Physical Significance of ' a ' and ' b '.

Solution: Constant ' $a$ ' measures intermolecular attraction, while ' $b$ ' relates to molecular size. Boyle's temperature ( $T_{B}$ ) is $a / Rb$ .

1. Highest ' $a$ ' is gas Z (5.0), so it has the highest attraction (S-1).

2. Smallest ' $b$ ' is gas Y (0.025), so it has the smallest size (R-2).

3. Highest $T_{B} = a / (R b)$ .

For Y: $4.2/ (0.08 \times 0.025) = 2100$ .

For Z: $5.0/ (0.08 \times 0.1) = 625$ .

Thus, Y has the highest $T_{B}$ (R-5).

Final Answer: Option C

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