Four gases have the following van der Waals constants (a in atm L 2 / mol 2 , b in L / mol ): P ( a = 2.0 , b = 0.040 ) ; Q ( a = 4.0 , b = 0.040 ) ; R ( a = 2.0 , b = 0.080 ) ; S ( a = 4.0 , b = 0.08

Question

Four gases have the following van der Waals constants (a in $atm L^{2} / mol^{2}$ , b in $L / mol$ ): P $(a = 2.0, b = 0.040)$ ; Q $(a = 4.0, b = 0.040)$ ; R $(a = 2.0, b = 0.080)$ ; S $(a = 4.0, b = 0.080)$ . Match each gas with the statements in Column II that are true for it $(R = 0.0821 L atm K^{- 1} mol^{- 1})$ (a Column I entry may match more than one Column II entry):

Column I (Gas)	Column II (Statement)
(P) gas P	(1) highest critical temperature of the four
(Q) gas Q	(2) lowest critical temperature of the four
(R) gas R	(3) critical volume = $0.24 L / mol$
(S) gas S	(4) highest critical pressure of the four
	(5) has the same critical temperature as one other gas of the four
	(6) Boyle temperature below 400 K

Choose the option with the correct matching:

TestHub · Accepted Answer

T c ​ and T B ​ depend on a / b : 50 (P), 100 (Q), 25 (R), 50 (S). P c ​ = a / ( 27 b 2 ) : 46.3 (P), 92.6 (Q), 11.6 (R), 23.1 atm (S). V c ​ = 3 b : 0.12 L for P and Q, 0.24 L for R and S. T B ​ = ( a / b ) /0.0821 : 609 K (P), 1218 K (Q), 304 K (R), 609 K (S). (P) Same T c ​ as S (5). (Q) Highest T c ​ (1) and highest P c ​ (4). (R) Lowest T c ​ (2), V c ​ = 0.24 L / mol (3), T B ​ = 304 K < 400 K (6). (S) V c ​ = 0.24 L / mol (3), same T c ​ as P (5). Correct matching: P to 5; Q to 1,4; R to 2,3,6; S to 3,5. Answer: (B).

Chemistry - Real Gas Question with Solution | TestHub

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