The van der Waals constants of two gases are Gas X: a = 1.35 atm L 2 m o l − 2 , b = 0.037 L m o l − 1 Gas Y: a = 4.20 atm L 2 m o l − 2 , b = 0.044 L m o l − 1 Then: (1) a and b are independent of te

Question

The van der Waals constants of two gases are

Gas X: $a = 1.35$ atm $L^{2} m o l^{- 2}, b = 0.037 L m o l^{- 1}$

Gas Y: $a = 4.20$ atm $L^{2} m o l^{- 2}, b = 0.044 L m o l^{- 1}$

Then:

(1) a and b are independent of temperature

(2) Critical volume of $X >$ critical volume of Y

(3) Critical pressure of $X <$ critical pressure of Y

(4) Critical temperature of $Y >$ critical temperature of X

Select the CORRECT option:

TestHub · Accepted Answer

Vc = 3b, Pc = a / ( 27 b 2 ) , Tc = 8a/(27Rb). (1) True: a and b are constants of the gas. (2) Vc = 0.111 L (X) and 0.132 L (Y), so X < Y. False. ( 3 ) a / b 2 : X = 1.35/0.001369 = 986 and Y = 4.20/0.001936 = 2169 , so P c ( X ) < P c ( Y ) . True. (4) a/b: X = 36.5 and Y = 95.5 , so T c ( Y ) > T c ( X ) . True. True statements: 1, 3 and 4. Answer: (C).

Chemistry - Real Gas Question with Solution | TestHub

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