In a special quasi-static process, an ideal mono-atomic gas is supplied heat in such a way that its volume increases and frequency of collisions of its atoms on unit area of the walls of the container remains constant. What is the molar heat capacity of the gas in $J m o l^{- 1} K^{- 1}$ ? $[R = 8.31 J m o l^{- 1} K^{- 1}]$

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answer is 16.62.

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Detailed Solution

Given number of collisions per second per unit area
= constant (n)
Hence $n \sqrt{T} = P O R P^{\frac{1}{2}} V^{\frac{- 1}{2}} = C o u n t$

$i . e P V^{- 1} = C o u n t C = C_{V} + \frac{R}{2} = \frac{3 R}{2} + \frac{R}{2} = 2 R G i v e n, R = 8.31; C = 16.62 J m o l^{- 1} k^{- 1}$

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