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