Hydrogen gas is expanded reversibly and adiabatically from a volume of (2.12 mathrm{dm}^{3}) at a pressure of

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Hydrogen gas is expanded reversibly and adiabatically from a volume of \(2.12 \mathrm{dm}^{3}\) at a pressure of \(4 \mathrm{~atm}\) and \(32^{\circ} \mathrm{C}\) until the volume is doubled. Determine the following:

(i) final temperature and pressure of the gas

(ii) \(Q, W, \Delta U\), and \(\Delta H\) for the gas.

Assume that the gas is an ideal one. \(C_{P}=29.01 \mathrm{~J} / \mathrm{kmol}\) and \(\gamma=1.4\).

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