VMMC VMMC Medical 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 :

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


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