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Kinetic Theory of Gases

Fill in the b...

Question

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The equation of state for real gas is given by $(P + \frac{a}{V^{2}}) \times (v - b) = R T$ . The dimensions of the constant a are ______.

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Solution

$(P + \frac{a}{V^{2}} (v - b) = R T$
$P V$ and $R T$ have dimension of energy
$V \to L^{3}$
$\frac{a}{v} \to M L^{2} T^{- 2}$
$a \to M L^{5} T^{2}$

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