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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Critical Thinking

  • question_answer
    The volume of air increases by 5% in its adiabatic expansion. The percentage decrease in its pressure will be

    A)            5% 

    B)            6%

    C)            7% 

    D)            8%

    Correct Answer: C

    Solution :

                       \[P{{V}^{\gamma }}=K\]or \[P\gamma \,{{V}^{\gamma -1}}dV+dP.\ {{V}^{\gamma }}=0\]                    or \[\frac{dP}{P}=-\gamma \frac{dV}{V}\]or \[\frac{dP}{P}\times 100=-\gamma \,\left( \frac{dV}{V}\times 100 \right)\]                      \[=-1.4\times 5=7%\]


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