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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Critical Thinking

  • question_answer
    Initial pressure and volume of a gas are P and V respectively. First it is expanded isothermally to volume 4V and then compressed adiabatically to volume V. The final pressure of gas will be [CBSE PMT 1999]

    A)            1P  

    B)            2P

    C)            4P  

    D)            8P 

    Correct Answer: B

    Solution :

                       In isothermal process \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\]                    or \[PV={{P}_{2}}\times 4V\] \ \[{{P}_{2}}=\frac{P}{4}\]                    In adiabatic process            \[{{P}_{2}}{{V}_{2}}^{\gamma }={{P}_{3}}{{V}_{3}}^{\gamma }\]Þ \[\frac{P}{4}\times {{(4V)}^{1.5}}={{P}_{2}}{{V}^{1.5}}\]Þ \[{{P}_{3}}=2P\]


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