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CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    A vessel has 6 kg of hydrogen at pressure p and temperature 500 K . A small hole is made in it so, that hydrogen leaks out. How much hydrogen leaks out, if the final pressure is p/2 and temperature falls to 300 K?

    A)  2g                                         

    B)  3g   

    C)  4g                                         

    D)  1g

    Correct Answer: D

    Solution :

                    For ideal gas equation \[pV=\frac{m}{M}RT\] \[pV=\frac{6}{M}R\,(500)\]                         ?(i) Let x gram of hydrogen leaks out \[\frac{p}{2}V=\frac{(6-x)}{M}R\,(500)\]               ...(ii) Dividing Eq. (ii) by Eq. (i), we have \[\frac{1}{2}=\frac{6-x}{6}-\frac{300}{500}\] \[\frac{1}{2}=\frac{6-x}{6}\] \[6-x=5\] \[x=1\,g\]


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