Value of universal gas constant (R) isa same for all gases. What is its physical significance?

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Solution

Unit of R depends upon those in which p, V and T are measured as, $R = \frac{p V}{n T}$ . If pressure is measured in Pascal, per mole volume is measured in $m^{3})$ and temperature is measured in Kelvin then units of 'R' are $P a m^{3} K^{- 1} m o l^{- 1} (o r) J m o l^{- 1} K^{- 1} .$ Since, joule is the unit of work done, so 'R' is work done by the gas per mole per kelvin.

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