VMMC VMMC Medical Solved Paper-2015

  • question_answer
    A system undergoes two cyclic processes I and II. Process I is reversible and process II is irreversible. The correct statement relating to the two processes is

    A)                                                                                                  \[\Delta S\] (for process I) = 0, while                                                                                                  \[\Delta S\] (for process II)                                                                                                    \[\ne 0\]

    B)                                                                                           \[{{q}_{cycle}}=0\]  for process I and                                                                                        \[{{q}_{cycle}}\ne 0\] for process II

    C) more heat can be converted to work in process I than in process II

    D) more work can be converted to heat in process I than in process II

    Correct Answer: B

    Solution :

    From clausius inequality,                                                                                       \[ds\ge \frac{dq}{T}\]                         For reversible process,                                                        \[\oint\limits_{cycle}{ds}\ge \frac{{{q}_{cycle}}}{T}\]                                                                               \[0\ge \frac{{{q}_{cycle}}}{T}\]                                                                                                                                                                                \[{{q}_{cycle}}\le 0\] So for reversible process,                                                                                           \[{{q}_{cycle}}=0\] and for irreversible process,                                                                                           \[{{q}_{cycle}}<0\]


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