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AMU Medical AMU Solved Paper-2008

  • question_answer
    If pressure of a gas contained in a closed vessel is increased by 0.4% when heated by \[1{}^\circ C\], its initial temperature must be

    A)  250 K                                   

    B) \[250{}^\circ C\]

    C)  2500 K                                 

    D) \[25{}^\circ C\]

    Correct Answer: A

    Solution :

    \[\frac{pV}{T}=\] constant; V = constant \[\therefore \]  \[\frac{p}{T}=\] constant \[\therefore \]  \[\frac{p}{T}=\frac{100.4\,p}{100}\times \frac{1}{(T+1)}\]                 \[\frac{1}{T}=\frac{100.4}{100}\times \frac{1}{(T+1)}\]                 \[\frac{1}{T}=\frac{100.4}{100T+100}\]                T = 250 K


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