KVPY Sample Paper KVPY Stream-SX Model Paper-5

  • question_answer
    V-T diagram for a process of a given mass of ideal gas is as shown in the figure. During the process pressure of gas.

    A)         first increases then decreases

    B) Continuously decreases

    C) Continuously increases

    D) First decreases then increases

    Correct Answer: B

    Solution :

    [B] V = KT + C \[P=\frac{nRT}{V}\]\[\Rightarrow P=\frac{mRT}{KT+C}\] \[\frac{dP}{dT}=\frac{nRC}{{{(KT+C)}^{2}}}\] As \[C<0\] by diagram \[\Rightarrow \frac{dP}{dT}<0\]for all T  \[\Rightarrow P\]continuously decreases.

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