JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    One mole of helium is adiabatically expanded from its initial state \[({{P}_{i}},{{V}_{i}},{{T}_{i}})\] to its final state \[({{P}_{f}},{{V}_{f}},{{T}_{f}})\]. The decrease in the internal energy associated with this expansion is equal to [SCRA 1994; BHU 2002]

    A)            \[{{C}_{V}}({{T}_{i}}-{{T}_{f}})\]                                      

    B)            \[{{C}_{P}}({{T}_{i}}-{{T}_{f}})\]

    C)            \[\frac{1}{2}({{C}_{P}}+{{C}_{V}})(Ti-{{T}_{f}})\]      

    D)            \[({{C}_{P}}-{{C}_{V}})({{T}_{i}}-{{T}_{f}})\]

    Correct Answer: A

    Solution :

                       \[\Delta U=\mu {{C}_{V}}\Delta T=1\times {{C}_{V}}({{T}_{f}}-{{T}_{i}})=-\,{{C}_{V}}({{T}_{i}}-{{T}_{f}})\]            Þ |DU| = CV (Ti ? Tf)


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