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Pressure of g...

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Pressure of gas is given by $P = \frac{n R T}{V} e^{- \frac{\propto}{R T V}}$ where, T =temperature, V =volume, R =universal gas constant and n =number of moles. The dimensions of $\propto$ are

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Solution

$P = \frac{n R T}{V} e^{- \frac{\propto}{R T V}}$
$\propto$ should have same dimension as that of RTV
$= [M L^{2} T^{- 2} m o l^{- 1} k^{- 1}] [k] [L^{3}] = [M L^{5} T^{- 2} m o l^{- 1}]$

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