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Question

2 mol of ammonia occupied a volume of 5 L at 27 C. Calculate the pressure if the gas obeyed van der Waals equation. (a=4.17 atm L2 mol2,b=0.0371 L mol1).

A
9.33 atm
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B
18.66 atm
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C
4.66 atm
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D
12.32 atm
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Solution

The correct option is A 9.33 atm
Given:
n=2 mol, V=5 L
T=273+27=300 K
a=4.17 atm L2 mol2,b=0.0371 L mol1.
R=0.082 atm L mol1 K1
Applying van der Waals equation for n moles
(P+an2V2)(Vnb)=nRT
(P+4.17×2252)(52×0.0371)=2×0.082×300P=2×0.082×3004.920.667
on solving we get :
P=9.33 atm

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