JEE Main & Advanced Sample Paper JEE Main Sample Paper-40

  • question_answer
    A Cabot?s engine works as a refrigerator between 250 K. and 300 K. If it receives 750 calories of heat from the reservoir at the lower temperature, the amount of heat rejected at the higher temperature is                                     

    A) 900 cal.                       

    B)  625 cal.

    C) 750 cal.                       

    D) 1000 cal.

    Correct Answer: A

    Solution :

    [a] We know that \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{300-250}{300}=\frac{50}{300}=\frac{1}{6}\] or\[\eta =1-\frac{{{Q}_{2}}}{{{Q}_{1}}}\Rightarrow \frac{1}{6}=\frac{{{Q}_{1}}-750}{{{Q}_{1}}}\] \[{{Q}_{1}}=6{{Q}_{1}}-4500\Rightarrow -5{{Q}_{1}}-4500\Rightarrow {{Q}_{1}}=900Cal\]


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