For a fixed amount of gas, z is the number of collisions made by one molecule per second (z is proportional to N T ) , λ is the mean free path (proportional to 1/N) and Z 11 is the number of bimol

Question

For a fixed amount of gas, z is the number of collisions made by one molecule per second (z is proportional to $N T), λ$ is the mean free path (proportional to 1/N) and $Z_{11}$ is the number of bimolecular collisions per unit volume per second (proportional to $N^{2} T); N$ is the number of molecules per unit volume. Match each change in Column I with the statements in Column II that are true (a Column I entry may match more than one Column II entry):

Column I (Change)	Column II (Statement)
(P) T becomes 4 times at constant V	(1) z becomes 2 times
(Q) V becomes one-fourth at constant T	$(2) λ$ becomes one-fourth
(R) T becomes 4 times at constant P	$(3) Z_{11}$ becomes 16 times
(S) V becomes one-fourth and T becomes 4 times	(4) z becomes 4 times
	$(5) Z_{11}$ becomes 2 times
	(6) z becomes one-half

Choose the option with the correct matching:

TestHub · Accepted Answer

(P) N unchanged, T ​ doubles: z becomes 2 times and Z 11 ​ becomes 2 times: 1, 5. (Q) N becomes 4 times: λ becomes 1/4, z becomes 4 times, Z 11 ​ becomes 16 times: 2, 3, 4. (R) At constant P, N is proportional to 1/T, so N becomes 1/4 and T ​ doubles: z becomes 1/2 (6). ( λ becomes 4 times, Z 11 ​ becomes 1/8: not listed.) (S) N becomes 4 times: λ becomes 1/4 (2). z becomes 8 times and Z 11 ​ becomes 32 times: not listed. Correct matching: P to 1,5; Q to 2,3,4; R to 6; S to 2. Answer: (D).

Chemistry - Ideal Gas Question with Solution | TestHub

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