J & K CET Medical J & K - CET Medical Solved Paper-2001

  • question_answer
    An ideal gas heat engine operates in a Carnots cycle between \[227{}^\circ C\] and \[127{}^\circ C\]. It absorbs \[6.0\times 104cal\] at higher temperature. The amount of heat converted into work is:

    A)  \[4.8\times {{10}^{4}}cal\]                         

    B)  \[3.5\times {{10}^{4}}cal\]

    C)  \[1.6\times {{10}^{4}}cal\]                         

    D)  \[1.2\times {{10}^{4}}cal\]

    Correct Answer: D

    Solution :

                     Efficiency\[(\eta )\]is given by \[\eta =\frac{work\text{ }done}{heat\text{ }absorbed}=1-\frac{{{T}_{1}}}{{{T}_{2}}}\] Given,   \[{{T}_{1}}={{127}^{o}}C=273+127=400\text{ }K,\] \[{{T}_{2}}={{227}^{o}}C=227+273=500\text{ }K\]                 \[\eta =1-\frac{400}{500}=0.2\] \[\Rightarrow \]Work done \[=0.2\times 6\times {{10}^{4}}=1.2\times {{10}^{4}}cal\]


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