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Question

The dimensional formula of RT is same as that of:

A
energy
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B
force
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C
specific heat
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D
latent heat
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Solution

The correct option is A energy
The vander Waals gas equation is (P+aV2)(Vb)=RT

where P is the pressure, V is molar volume and T is the temperature of the given sample of gas. R is called mola gas constant, a and b are called vander Waals constants.

(P+aV2)(Vb)=RT,

PV+aVPbabV2=RT

So, [PV]=[RT];[aV]=[RT];[Pb]=[RT];[abV2]=[RT]

[RT]=[PV]=(ML1T2)(L3)=ML2T2=[Energy]

Since energy has dimension of E=Mgh=ML2T2

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