EAMCET Medical EAMCET Medical Solved Paper-2006

  • question_answer
    The temperature of a gas contained in a closed vessel increases by \[2{}^\circ C\] when the pressure is increased by 2%. The initial temperature of the gas is :

    A)  200 K                                   

    B)  100 K

    C) \[200{}^\circ C\]                              

    D)  \[100{}^\circ C\]

    Correct Answer: B

    Solution :

                     According to Gay Lussacs or pressure law \[P\propto T\] or            \[\frac{P}{T}=cons\tan t\] \[\therefore \]  \[\frac{{{P}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}}{{{T}_{2}}}\]                               ?(i) Given, \[{{P}_{1}}=P,{{P}_{2}}=P+\frac{2}{100}P=\frac{51P}{50},{{T}_{2}}=T+2\] From Eq. (i), we have \[\frac{P}{T}=\frac{51P/50}{T+2}\]                 or                            \[T+2=\frac{51T}{50}\]                 or            \[50T+100=51T\] \[\therefore \]  \[T=100K\]


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