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Question: In the equation \(\left( P + \frac{a}{V^{2}} \right)\) (V – b) = RT, the SI unit of a is...

In the equation (P+aV2)\left( P + \frac{a}{V^{2}} \right) (V – b) = RT, the SI unit of a is

A

(a) N m2

A

(b) N m4

A

(c) N m–3

A

(d) N m–2

Explanation

Solution

(b)

Sol. P + aV2\frac{a}{V^{2}} = 0; aV2\frac{a}{V^{2}} = pressure

Sol. [a] = MLT2L2\frac{MLT^{- 2}}{L^{2}} . L6 = MLT–2.L4 = F.L4 = Nm4