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KVPY Sample Paper KVPY Stream-SX Model Paper-17

  • question_answer
    Two Carnot engines 'A and B are operated in series. The first one, A, receives heat at \[{{T}_{1}}\](= 600 K) and rejects to a reservoir at temperature\[{{T}_{2}}\]. The second engine B receives heat rejected by the first engine and, in turns, rejects to a heat reservoir at \[{{T}_{3}}\](= 400 K). Calculate the temperature\[{{T}_{2}}\] if the work outputs of the two engines are equal:

    A) 600 K

    B) 400 K

    C) 300 K

    D) 500 K

    Correct Answer: D

    Solution :

    \[{{W}_{1}}={{W}_{2}}\] \[\Rightarrow \]   \[600-{{T}_{2}}={{T}_{2}}-400\] \[\Rightarrow \]   \[{{T}_{2}}=500\,K.\]


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