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NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    In a container mg of a gas is placed. After sometime some gas is allowed to escape from container. The pressure of the gas becomes half and its absolute temperature \[\frac{2}{3}\]  rd. The amount of gas escaped is

    A)  \[\frac{2}{3}m\]                    

    B)  \[\frac{1}{2}m\]

    C)  \[\frac{1}{4}m\]                    

    D)  \[\frac{1}{6}m\]

    Correct Answer: C

    Solution :

    \[PV=nRT=\frac{m}{M}\,RT\] \[\frac{1}{2}P\times V=\frac{m'}{M}R\times \frac{2}{3}T\] \[PV=\frac{4}{3}\frac{m'}{M}\,RT\]             \[\therefore \]      \[\frac{m}{M}=\frac{4}{3}\frac{m'}{M}\]                         \[m'=\frac{3}{4}\,m\] This is the mass left.                                Hence, mass escaped \[=m-\frac{3}{4}m=\frac{1}{4}m\]


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