Column I compares the root mean square speeds of two gas samples (first : second). Match each case with the statements in Column II that are true (the same ratio holds for the most probable speeds) (a

Question

Column I compares the root mean square speeds of two gas samples (first : second). Match each case with the statements in Column II that are true (the same ratio holds for the most probable speeds) (a Column I entry may match more than one Column II entry):

Column I (Comparison)	Column II (Statement)
(P) $H_{2}$ at 100 $K : He$ at 200 K	(1) the two speeds are equal
(Q) $O_{2}$ at 800 $K : C H_{4}$ at 200 K	(2) the first is faster
(R) $C H_{4}$ at 100 $K : O_{2}$ at 400 K	(3) the first is slower
(S) $S O_{2}$ at 100 $K : C H_{4}$ at 400 K	(4) the ratio is $2 : 1$ or $1 : 2$
	(5) the same ratio holds for the most probable speeds

Choose the option with the correct matching:

TestHub · Accepted Answer

Speed is proportional to T / M ​ ; compare T/M. (P) 100/2 = 50 and 200/4 = 50: equal. Both speeds scale the same way: 1, 5. (Q) 800/32 = 25 and 200/16 = 12.5: ratio 2 ​ : 1 , first faster: 2, 4, 5. (R) 100/16 = 6.25 and 400/32 = 12.5: ratio 1 : 2 ​ , first slower: 3, 4, 5. (S) 100/64 = 1.5625 and 400/16 = 25: ratio 1 : 4, first slower: 3, 5. Correct matching: P to 1,5; Q to 2,4,5; R to 3,4,5; S to 3,5. Answer: (B).

Chemistry - Ideal Gas Question with Solution | TestHub

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