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AMU Medical AMU Solved Paper-2001

  • question_answer
    A vessel has 6 g of oxygen of pressure p and temperature 400 K, a small hole is made in it so that oxygen leaks out. How much oxygen leaks out, if the final pressure isp/2 and temperature is 300 K ?

    A)  3 g                                        

    B)  2 g

    C)  4 g                                        

    D)  5 g

    Correct Answer: B

    Solution :

                     From ideal gas equation                 \[pV=n\,RT\] where \[n=\frac{m}{M}\], m is weight of gas, M the molecular weight, R the gas constant. \[\therefore \]  \[pV=\frac{m}{M}RT\]                   ... (i) and        \[pV=\frac{m}{M}RT\]                   ... (ii) Dividing Eq. (ii) by Eq. (i), we get                 \[\frac{p}{p}=\frac{m}{m}\,.\,\frac{T}{T}\] \[\Rightarrow \]               \[m=\frac{p/2}{p}\times \frac{400}{300}\times 6=4\,\,g\] \[\therefore \] mass of the gas that leaked out                                 \[=6\,g-4g=2g\]


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