JEE Main & Advanced Physics Thermodynamical Processes Sample Paper Topic Test - Thermodynamical Processes

  • question_answer
    P.T graph of an ideal gas of equal number of moles of different volumes are plotted as shown. Choose the correct answer  

    A) \[{{V}_{1}}={{V}_{2}}>{{V}_{3}}={{V}_{4}}\]

    B) \[{{V}_{1}}={{V}_{2}}<{{V}_{3}}={{V}_{4}}\]

    C) \[{{V}_{1}}={{V}_{2}}={{V}_{3}}={{V}_{4}}\]

    D) \[{{V}_{4}}>{{V}_{3}}>{{V}_{2}}>{{V}_{1}}\]

    Correct Answer: A

    Solution :

    [a] In isochoric process, \[V=\] constant or \[P\alpha T\] i.e., P-T graph is a straight line passing through origin. But since \[P=(nRT)\frac{1}{V}\]
    Slope of the straight line \[\alpha \frac{1}{V}\]

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