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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Self Evaluation Test - Thermodynamics

  • question_answer
    A gas is compressed from a volume of \[2{{m}^{3}}\] to a volume of \[1{{m}^{3}}\] at a constant pressure of\[100\text{ }N/{{m}^{2}}\]. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:    

    A) increases by 250 J

    B) decreases by 250 J

    C) increases by 50 J

    D) decreases by 50 J

    Correct Answer: A

    Solution :

    [a] As we know, \[\Delta Q=\Delta U+\Delta W\] (1st law of thermodynamics) \[\Rightarrow \Delta Q=\Delta U+P\Delta V\] or \[150=\Delta U+100\left( 1-2 \right)=\Delta U-100\] \[\therefore \Delta U=\text{ }150+100=250\text{ }J\]  Thus the internal energy of the gas in- creases by 250 J


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