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NEET Physics Thermodynamical Processes NEET PYQ-Thermodynamical Processes

  • question_answer
    During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of \[\frac{{{C}_{p}}}{{{C}_{\upsilon }}}\] for the gas is                                          [NEET 2013]

    A)  \[\frac{4}{3}\]             

    B)       2                    

    C)  \[\frac{5}{3}\]             

    D)       \[\frac{3}{2}\]

    Correct Answer: D

    Solution :

    According to question
    \[p\propto {{T}^{3}}\]
    \[pV=nRT\]
    And      \[p\propto {{T}^{3}}\]
    \[\Rightarrow \]   \[{{p}^{2}}{{V}^{3}}=\] constant
                \[p{{V}^{3/2}}=\] constant
    \[\because \]       \[p{{V}^{\gamma }}=\] constant
    \[\therefore \]      \[\gamma =\frac{3}{2}\]


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