One mol of nitrogen at (25^{circ} mathrm{C}) and (1 mathrm{~atm}) is allowed to expand reversibly to a
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One mol of nitrogen at \(25^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) is allowed to expand reversibly to a volume of \(50 \mathrm{dm}^{3}\). If the gas is assumed to be ideal, calculate the final pressure for the following cases:
(i) isothermal expansion
(ii) adiabatic expansion Take \(\gamma=1.67\).
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