The equation left( P + frac{a}{V^2} right) (V | vedclass

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(B) According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.In the term $

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$Dyne 	imes cm^4$

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(B) According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.In the term $\left( P + \frac{a}{V^2} ight)$,$P$ (pressure) is added to $\frac{a}{V^2}$.Therefore,the dimensions of $P$ must be equal to the dimensions of $\frac{a}{V^2}$.$[P] = \left[ \frac{a}{V^2} ight]$$[a] = [P] 	imes [V^2]$Since pressure $P$ is force per unit area,its unit is $Dyne/cm^2$ (in $CGS$ system).Volume $V$ has units of $cm^3$,so $V^2$ has units of $cm^6$.Unit of $a = (Dyne/cm^2) 	imes (cm^6) = Dyne 	imes cm^4$.

The equation $\left( P + \frac{a}{V^2} \right) (V - b) = \text{constant}$. The units of $a$ are:

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