Haryana PMT Haryana PMT Solved Paper-2011

  • question_answer
    A mass of dry air at NTP is compressed to \[\frac{1}{20}\]th of its original volume suddenly. If r = 1.4, the              final pressure would be

    A)                  20atm                                 

    B)  66.28 atm

    C)                  30 atm                                

    D)  150 atm

    Correct Answer: B

    Solution :

                    \[{{P}_{2}}{{V}_{2}}^{\gamma }={{P}_{1}}{{V}_{1}}^{\gamma }\] \[{{P}_{2}}={{P}_{1}}{{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}=1{{\left( \frac{{{V}_{1}}}{{{V}_{1}}/20} \right)}^{1.4}}\]                 \[\text{=(20}{{\text{)}}^{\text{1}\text{.4}}}\text{=66}\text{.28}\,\text{atm}\]


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