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

  • question_answer
    Unit mass of a liquid with volume \[{{V}_{1}}\] is completely changed into a gas of volume K, at a constant external pressure P and temperature T. If the latent heat of evaporation for the given mass is L, then the increase in the internal energy of the system is

    A) Zero

    B) \[P\left( {{V}_{2}}-{{V}_{1}} \right)\]

    C) \[L-P\left( {{V}_{2}}-{{V}_{1}} \right)\]

    D) \[L\]

    Correct Answer: C

    Solution :

    [c] \[Q=mL=1\times L=L;W=P({{V}_{1}}-{{V}_{2}})\] Now \[Q=\Delta U+W\] \[\text{or  }L=\Delta U+P\left( {{V}_{2}}-{{V}_{1}} \right)\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Delta U=L-P\left( {{V}_{2}}-{{V}_{1}} \right)\]


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