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(C) For an isobaric process (constant pressure),the ideal gas law $PV = nRT$ implies that $V \propto T$ (Charles's Law).Given $n = 1$ mole,initial vol

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$\frac{V}{273}$

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(C) For an isobaric process (constant pressure),the ideal gas law $PV = nRT$ implies that $V \propto T$ (Charles's Law).Given $n = 1$ mole,initial volume is $V$ at temperature $T$.When temperature increases by $1 \, K$,the new temperature is $T' = T + 1$.The new volume $V'$ is given by $\frac{V'}{T+1} = \frac{V}{T}$.$V' = V \left(1 + \frac{1}{T}\right) = V + \frac{V}{T}$.For a gas at standard conditions or generally,the coefficient of volume expansion $\gamma = \frac{1}{T}$. For an ideal gas,$\gamma = \frac{1}{273} \, K^{-1}$ at $0 \, ^\circ C$ $(273 \, K)$.Thus,the increase in volume $\Delta V = V' - V = \frac{V}{T}$.Assuming $T = 273 \, K$,the increase in volume is $\frac{V}{273}$.

One mole of a perfect gas in a cylinder fitted with a piston has a pressure $P,$ volume $V,$ and temperature $T.$ If the temperature is increased by $1 \, K$ keeping pressure constant,the increase in volume is

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