JEE Main & Advanced Physics Thermodynamical Processes Question Bank Topic Test - Thermodynamical Process (2021)

  • question_answer
    The pressure in the tyre of a car is four times the atmospheric pressure at 300 K. If this tyre suddenly bursts, its new temperature will be \[(\gamma =1.4)\]

    A) \[300\,{{(4)}^{1.4/0.4}}\]

    B) \[300\,{{\left( \frac{1}{4} \right)}^{-0.4/1.4}}\]

    C) \[300\,{{(2)}^{-0.4/1.4}}\]

    D) \[300\,{{(4)}^{-0.4/1.4}}\]

    Correct Answer: D

    Solution :

    [d] For adiabatic process \[\frac{{{T}^{\gamma }}}{{{P}^{\gamma -1}}}=\]constant
                Þ\[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{P}_{1}}}{{{P}_{2}}} \right)}^{\frac{1-\gamma }{\gamma }}}\]Þ\[\frac{{{T}_{2}}}{300}={{\left( \frac{4}{1} \right)}^{\frac{(1-1.4)}{1.4}}}\]      

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