BHU PMT BHU PMT Solved Paper-2001

  • question_answer
    A Carnot enging works between temperatures \[727{}^\circ C\] and \[27{}^\circ C\]. The efficiency of the engine is:

    A)  \[70%\]                                              

    B)  \[30\,%\]

    C)  \[0\,%\]                                             

    D)  \[10\,%\]

    Correct Answer: A

    Solution :

    The efficiency \[\eta \] of a Carnot engine is defined as the amount of work divided by the heat transferred between the system and the hot reservoir                                             \[\eta =\frac{\Delta W}{\Delta {{Q}_{H}}}=1-\frac{{{T}_{c}}}{{{T}_{H}}}\] Given,  \[{{T}_{c}}=27+273=300\,K\]                                 \[{{T}_{H}}=727+273=1000\,K\]                                 \[\eta =\left( 1-\frac{300}{1000} \right)\times 100=70%\]


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