Q.
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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