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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    A gas (\[\gamma =1.3)\] is enclosed in an insulated vessel fitted with insulating piston at a pressure of \[{{10}^{5}}\,N/{{m}^{2}}\]. On suddenly pressing the piston the volume is reduced to half the initial volume. The final pressure of the gas is                   [RPET 2002]

    A)            \[{{2}^{0.7}}\times {{10}^{5}}\]                                       

    B)            \[{{2}^{1.3}}\times {{10}^{5}}\]

    C)            \[{{2}^{1.4}}\times {{10}^{5}}\]                                       

    D)            None of these

    Correct Answer: B

    Solution :

                       \[\because \ P{{V}^{\gamma }}=k\](constant) Þ \[{{P}_{1}}V_{1}^{\gamma }={{P}_{2}}V_{2}^{\gamma }\]            Þ \[{{P}_{2}}={{P}_{1}}{{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}={{10}^{5}}\times {{(2)}^{1.3}}\]    \[(\because \ {{V}_{2}}=\frac{{{V}_{1}}}{2})\]


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