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

  • question_answer
    Which of the following graphs correctly represents the variation of \[\beta =\frac{dV/dP}{V}\] with P for an ideal gas at constant temperature?

    A)

    B)

    C)

    D)

    Correct Answer: A

    Solution :

    [a] PV= constant. Differentiating, \[\frac{PdV}{dP}=-V;\beta =-\left( \frac{1}{V} \right)\left( \frac{dV}{dP} \right)=\left( \frac{1}{P} \right)\Rightarrow \beta \times P=1\] \[\therefore \]Graph between P and P will be a rectangular hyperbola.


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