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Question 2

What is the dimensional formula of $$ab^{-1}$$ in the equation $$\left(P + \frac{a}{V^2}\right)(V - b) = RT$$, where letters have their usual meaning.

$$a/V^2$$ has units of pressure: $$[a]=PV^2=ML^{-1}T^{-2}\cdot L^6=ML^5T^{-2}$$. $$[b]=V=L^3$$.

$$[a/b]=ML^5T^{-2}/L^3=ML^2T^{-2}$$.

The answer is Option (3): $$ML^2T^{-2}$$.

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