J & K CET Medical J & K - CET Medical Solved Paper-2000

  • question_answer
    An engineer claims to have made an engine delivering 10 kW power with fuel consumption of 1 g/s. The calorific value of the fuel is 2 kcal/g. The claim of the engineer :

    A)  is valid

    B)  is invalid

    C)  depends on engine design

    D)  depends on the load

    Correct Answer: B

    Solution :

                    The energy efficiency of a process is defined as \[\eta =\frac{power\text{ }output}{power\text{ }input}\] Power input\[=\frac{1g}{s}\times \frac{2k\,cal}{8}=2\text{ }k\text{ }cal/s\] Output energy\[=10\text{ }kW=10\text{ }kJ/s\]                 \[=\frac{10}{4.2}k\,cal/s\]                 \[\eta =\frac{10}{4.2\times 2}>1\] Since, energy efficiency is a dimensionless number, with a value between 0 to 1, or when multiplied by 100, is given as a percentage. Also, energy efficiency within a closed system can never exceed 100%, hence, claim of engineer is invalid.


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