JEE Main & Advanced Physics Thermodynamical Processes Sample Paper Topic Test - Thermodynamical Processes

  • question_answer
    A monatomic gas undergoes a process given by \[2dU+3dW=0,\] then the process is

    A) isobaric

    B) adiabatic

    C) isothermal

    D) none of these

    Correct Answer: B

    Solution :

    [b]\[dQ=dU+dW=dU-\frac{2dU}{3}=\frac{dU}{3}\]
    \[=\frac{1}{3}n{{C}_{\upsilon }}dT=\frac{1}{3}n\frac{3}{2}RdT=\frac{nRdT}{2}\]
    \[\Rightarrow \]            \[C=\frac{1}{n}\cdot \,\frac{dQ}{dt}=\frac{R}{2}\]
    Which is not equal to 0, infinity or 5R/2.


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