RAJASTHAN ­ PET Rajasthan PET Solved Paper-2006

  • question_answer
    Efficiency of a Carnot engine is 40% when temperature of outlet is 500 K. In order to increase efficiency up to 50% keeping temperature of intake the same. What is temperature of outlet?

    A)  700 K           

    B)  600 K

    C)  400 K           

    D)  500 K

    Correct Answer: C

    Solution :

     \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\Rightarrow 0.4=1-\frac{500}{{{T}_{1}}}\] \[\Rightarrow \] \[\frac{500}{{{T}_{1}}}=0.6\] ??..(i) Similarly, \[\frac{1}{2}=1-\frac{{{T}_{2}}'}{{{T}_{1}}}\Rightarrow \frac{{{T}_{2}}'}{{{T}_{1}}}=\frac{1}{2}\]      ...(ii) Dividing Eq. (i) by Eq. (ii), we get\[{{T}_{2}}'=400\,K\]


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