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Q.

The equation of state of some gases can be expressed as (P+aV2)(V−b)= RT. Here  P is the pressure,  V is the volume,  T is the absolute temperature and   a, b, R are constants. The dimensions of  ‘a ’ are

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a

ML5T−2

b

M0L6T0

c

M0L3T0

d

ML−1 T−2

answer is A.

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Detailed Solution

By principle of dimensional homogeneity

[aV2]=[P]

∴ [a]=[P][V2]=[ML−1T−2]×[L6]=[ML5T−2]

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