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The equation of the state of some gases can be expressed as P+aV2=bθV, where P is the pressure, V the volume, θ the absolute temperature, and a and b are constants. The dimensional formula of a is

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a

ML5T−2

b

M−1L5T2

c

ML−1T−2

d

ML−5T−2

answer is A.

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Detailed Solution

By the principle of dimensional homogeneity,[P]=aV2⇒[a]=[P]×V2=ML−1T−2L6=ML5T−2

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