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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        Air is filled at\[60{}^\circ C\]in a vessel of open mouth. The vessel is heated to a temperature T, so that \[1/4\]th part of air escape. Assuming the volume of the vessel remaining constant, the value of T is

    A)  \[80{}^\circ C\]                

    B)  \[444{}^\circ C\]

    C)  \[333{}^\circ C\]                             

    D)  \[171{}^\circ C\]

    Correct Answer: D

    Solution :

                    For open mouth vessel, pressure is constant volume is also given constant \[PV=\mu RT\]                 \[=\left( \frac{m}{M} \right)RT\] \[T\propto \frac{1}{M}=\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{M}_{2}}}{{{M}_{1}}}\] \[\frac{1}{4}\]th part escape so remaining mass in the vessel                 \[{{M}_{2}}=\frac{1}{4}{{M}_{1}}\]                 \[\frac{(273+60)T}{{}}=\frac{3/4{{M}_{1}}}{{{M}_{1}}}\]                 \[T=444K=171{}^\circ C\]


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