JEE Main & Advanced Physics Thermodynamical Processes Question Bank Graphical Questions

  • question_answer
    An ideal gas is taken from point A to the point B, as shown in the P-V diagram, keeping the temperature constant. The work done in the process is                                   [UPSEAT 2005]

    A)            \[({{P}_{A}}-{{P}_{B}})({{V}_{B}}-{{V}_{A}})\]           

    B)            \[\frac{1}{2}({{P}_{B}}-{{P}_{A}})({{V}_{B}}+{{V}_{A}})\]

    C)            \[\frac{1}{2}({{P}_{B}}-{{P}_{A}})({{V}_{B}}-{{V}_{A}})\]    

    D)            \[\frac{1}{2}({{P}_{B}}+{{P}_{A}})({{V}_{B}}-{{V}_{A}})\]

    Correct Answer: D

    Solution :

                       W = Area bonded by the indicator diagram with V-axis)     \[=\frac{1}{2}({{P}_{A}}+{{P}_{B}})\,({{V}_{B}}-{{V}_{A}})\]


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