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Question

At relatively high pressure, van der Waals equation reduces to

A
PV=RT
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B
PV=RT+qV
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C
PV=RT+Pb
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D
PV=RTaV2
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Solution

The correct option is C PV=RT+Pb
The van der Waals equation is given by
(P+an2V2)(Vnb)=nRT
For one mole of a real gas, this can be reduced to
(P+aV2)(Vb)=RT
At relatively high pressure, the volume of the gas is very small.
Hence, we cannot neglect the term nb but we can neglect the term (aV2) as it is negligible when compared with the value of P.
P(Vb)=RT
PV=RT+Pb
Thus, option (c) is the correct answer.

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