JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    Even Carnot engine cannot give 100% efficiency because we cannot   AIEEE  Solved  Paper-2002

    A) prevent radiation               

    B) find ideal sources

    C) reach absolute zero temperature

    D) eliminate friction

    Correct Answer: C

    Solution :

    The efficiency of Carnot engine is              \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\]              where, \[{{T}_{1}}\] is the temperature of the source and              \[{{T}_{2}}\] that of sink.              Since,                       \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{{{Q}_{2}}}{{{Q}_{1}}}\]              So,                             \[\eta =1-\frac{{{Q}_{2}}}{{{Q}_{1}}}\]              To obtain 100% efficiency (i.e., \[\eta =1\]), \[{{Q}_{2}}\] must be zero i.e., if a sink at absolute zero would be available, all the heat taken from the source would have been converted into work. The temperature of sink means a negative temperature on the absolute scale at which the efficiency of engine is greater than unity. This would be a violation of the 2nd law of thermodynamics. Hence, a negative temperature on the absolute scale is impossible. Hence, we cannot reach absolute zero temperature.


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