Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    A Carnot engine working between 300 K and 600 K has a work output of 800 J per cycle. What is the amount of heat energy supplied to the engine from source per cycle ?

    A)  1200 J/cycle                      

    B)  1600 J/cycle

    C)   1400 J/cycle                     

    D)  None of the above

    Correct Answer: B

    Solution :

    Given,  \[{{T}_{1}}=600K,\]\[{{T}_{2}}=300K\] \[W=800J,\] \[Q=?\] Efficiency of heat engine                 \[(\eta )=1-\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{work\,done}{heat\,taken}\]                 \[1-\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{W}{Q}\]                 \[1-\frac{300}{600}=\frac{800}{Q}\]                 \[\frac{1}{2}=\frac{800}{Q}\]                 \[Q=1600J/cycle\]


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