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Question

Calculate the pressure exerted by 5 mol of CO2 in 1 L vessel at 47C using van der Waals equation. Also, calculate the pressure for an ideal gas. Given a=3.592 atm L2mol2, b = 0.0427 L mol1 .


A

131.2 , 77.01

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B

69.83, 126.22

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C

77.01, 131.2

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D

114 , 122

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Solution

The correct option is C

77.01, 131.2


From the Van der Waals equation, we have p+anV2Vnb=nRT
Substituting n=5,V=1L,T=320K,a=3.592 atm L2 mol2 and b=0.0427 mol1 ,we get

p=nRTVnban2V2=5×0.082×32015×0.04273.592×251

=166.8189.8=77.01 atm

For an ideal gas , we have

P=nRTV=5×0.082×3201=131.2 atm


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