Manipal Engineering Manipal Engineering Solved Paper-2012

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

    A) \[250\,\,K\]                       

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

    C) \[2500\,\,K\]         

    D)        \[{{25}^{o}}C\]

    Correct Answer: A

    Solution :

    \[\frac{pV}{T}=\]constant;\[V=\]constant \[\therefore \]  \[\frac{p}{T}=\text{constant}\] \[\therefore \]  \[\frac{p}{T}=\frac{100.4p}{1000}\times \frac{1}{(T+1)}\]                 \[\frac{1}{T}=\frac{100.4}{100}\times \frac{1}{(T+1)}\]                 \[\frac{1}{T}=\frac{100.4}{100T+100}\]                 \[T=250\,\,K\]


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