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Question

Calculate the pressure of one mole of nitrogen gas in a 10 L cylinder at 50C using the Van der Waals equation.Also find the value of ideal gas pressure.(Van der Waals constants a and b for nitrogen are 1.4L2 atm mol2 and 0.04 L2mol1 respectively) .


A

2.18 atm

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B

2.965 atm

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C

2.652 atm

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D

None of these

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Solution

The correct option is D

None of these


From the Van der Walls equation ,

p+aV2Vb=RT

We get ,

p+1.4100(100.04)=0.0821×323p=2.648atm
From ideal gas equation, we have
p=RTV=0.0821×32310=2.652
Pideal=2.648 atm Preal=2.652 atm


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