The equation of state of some gases can be expressed as (P+aV2) = RθV. 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-1L5T-2
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-2][L6] = [ML5T-2]
The equation of state of some gases can be expressed as (P+aV2) = RθV. where P is the pressure, V the volume, θ the absolute temperature and a and b are constants. The dimensional formula of a is