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(A) According to the principle of dimensional homogeneity,the dimensions of each term added or subtracted in an equation must be the same.In the given

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$[ML^5T^{-2}]$

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(A) According to the principle of dimensional homogeneity,the dimensions of each term added or subtracted in an equation must be the same.In the given equation $(P + \frac{a}{V^2}) = \frac{b	heta}{l}$,the term $P$ is added to $\frac{a}{V^2}$.Therefore,$[P] = [\frac{a}{V^2}]$.We know that the dimensional formula for pressure $P$ is $[ML^{-1}T^{-2}]$ and for volume $V$ is $[L^3]$.Thus,$[a] = [P] 	imes [V^2]$.Substituting the dimensions: $[a] = [ML^{-1}T^{-2}] 	imes [L^3]^2$.$[a] = [ML^{-1}T^{-2}] 	imes [L^6]$.$[a] = [ML^5T^{-2}]$.

The equation of state of some gases can be expressed as $(P + \frac{a}{V^2}) = \frac{b\theta}{l}$,where $P$ is the pressure,$V$ is the volume,$\theta$ is the absolute temperature,and $a$ and $b$ are constants. The dimensional formula of $a$ is

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