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Question

The Van Der Waal’s equation of state for some gases can be expressed as: (P+aV2)(Vb)=RT Where P is the pressure, V is the molar volume and T is the absolute temperature of the given sample of gas and a,b and R are constants.

Which of the following does not have the same dimension formula as that of RT ?

A
PV
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B
Pb
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C
aV2
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D
abV2
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Solution

The correct option is C aV2
We can say that:
[PV]=[RT]
option (a) is wrong.

As b also has the same dimensions as V,
[Pb]=[RT]
option (b) is wrong.
For detailed solution please watch the next video.

As aV2 has same dimensions as that of P,
[abV2]=[RT]
option (c) is correct.
option (d) is wrong.

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