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An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If \( \mathrm{T}_{\mathrm{i}} \) is the initial temperature and \( \mathrm{T}_{\mathrm{f}} \) is the final temperature, which of the following statements is correct?
(a) \( \quad\left(\mathrm{T}_{\mathrm{f}}\right)_{\mathrm{rev}}=\left(\mathrm{T}_{\mathrm{f}}\right)_{\text {irrev }} \)
(b) \( \mathrm{T}_{\mathrm{f}}=\mathrm{T}_{\mathrm{i}} \) for both reversible and irreversible processes
(c) \( \left(\mathrm{T}_{\mathrm{f}}\right)_{\text {irrev }}\left(\mathrm{T}_{\mathrm{f}}\right)_{\text {rev }} \)
(d) \( \mathrm{T}_{\mathrm{f}}\mathrm{T}_{\mathrm{i}} \) for reversible process but \( \mathrm{T}_{\mathrm{f}}=\mathrm{T}_{\mathrm{i}} \) for irreversible process
\( \mathrm{P} \)
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