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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2007

  • question_answer
    A Carnot's engine operates with source at \[{{127}^{o}}C\] and sink at \[{{27}^{o}}C\]. If the source supplies 40 kJ of heat energy, the work done by the engine is

    A)  30 kJ                                    

    B)  10 kJ

    C)  4 kJ                                       

    D)  1 kJ

    Correct Answer: B

    Solution :

    Efficiency             \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\]                 \[=1-\frac{(273+27)}{(273+127)}\]                 \[=1-\frac{300}{400}\]                 \[=\frac{1}{4}\]                 \[\eta =\frac{Work\text{ }done}{Heat\text{ }supplied}\]                 \[\frac{1}{4}=\frac{W}{40}\] \[\Rightarrow \]               \[W=10\,kJ\]


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