Physics

In the gas equation, $$(P +\dfrac{a}{V^2}) (V - b) = RT$$ , where P is pressure, V is volume, R is gas constant and T is temperature. Calculate the dimensional formula of a and b.


SOLUTION
Given equation is, 
$$(P + \dfrac{a}{V^2}) (V - b)= RT$$ 
Applying principle of homogeneity, 
Dimensional formula of$$\dfrac{a}{V^2}$$ = Dimensional formula of P $$\therefore$$ Dimensional formula of a = Dimensional formula of $$P.V^2$$ 
$$= [M^1L^{-1}T^{-2} . L^6]$$ 
$$=[M^1L^5T^{-2}]$$
Similarly dimensional formula Dimensional formula of V = 
$$=[M^0L^3T^0]$$
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