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In the formula, $p = \frac{n R T}{V - b} e^{\frac{a}{R T V}}$ , find the dimensions of $a a n d b$ , where $p$ = pressure, $n$ = number of moles, $T$ = temperature, $V$ = volume and $R$ = universal gas constant.

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[a]=ML5 T2 mol-1,[b]=L3

[a]=ML-5 T-2 mol-1,[b]=L3

[a]=ML3 T-2 mol-1,[b]=L4

[a]=ML5 T-2 mol-1,[b]=L3

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detailed solution

Correct option is D

aRTV=M0L0T0 ∴ [a]=[RTV]=pV2n=ML5 T-2 mol-1 [b]=L3

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In the formula, p=nRTV-beaRTV , find the dimensions of a and b, where p= pressure, n= number of moles, T= temperature, V= volume and R= universal gas constant.

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In the formula, $p = \frac{n R T}{V - b} e^{\frac{a}{R T V}}$ , find the dimensions of $a a n d b$ , where $p$ = pressure, $n$ = number of moles, $T$ = temperature, $V$ = volume and $R$ = universal gas constant.