Punjab Medical Punjab - MET Solved Paper-2005

  • question_answer
    An ideal heat engine exhausting heat at \[{{77}^{o}}C\] is to have \[30%\] efficiency. It must take heat at

    A) \[{{127}^{o}}C\]                               

    B) \[{{227}^{o}}C\]

    C) \[{{327}^{o}}C\]                               

    D) \[{{673}^{o}}C\]

    Correct Answer: B

    Solution :

    Given:\[{{T}_{2}}=77+273=350K\] Efficiency\[\eta =\left( 1-\frac{{{T}_{2}}}{{{T}_{1}}} \right)\times 100\]                 \[30=\left( 1-\frac{350}{{{T}_{1}}} \right)100\]                 \[1-\frac{350}{{{T}_{1}}}=\frac{3}{10}\]                 \[\frac{350}{{{T}_{1}}}=\frac{7}{10}\]                 \[{{T}_{1}}=\frac{350\times 10}{7}=500K\]                 \[=500-273={{227}^{o}}C\]


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