JEE Main & Advanced Physics Kinetic Theory of Gases Sample Paper Topic Test - Kinetic Theory of Gases

  • question_answer
    A vessel containing 1 mol of \[{{O}_{2}}\] gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing 1 mol of \[He\] gas (molar mass 4) at temperature 2T has a pressure of

    A) P/8

    B) 2P  

    C) 3P  

    D) 8P

    Correct Answer: B

    Solution :

    [b] \[PV=nRT\]
                \[\therefore \]    \[{{P}_{1}}V={{n}_{1}}R{{T}_{1}}\] and \[{{P}_{2}}V={{n}_{2}}R{{T}_{2}}\]
                \[\therefore \]    \[\frac{{{P}_{2}}}{{{P}_{1}}}=\frac{{{n}_{2}}}{{{n}_{1}}}.\frac{{{T}_{2}}}{{{T}_{1}}}\Rightarrow \,{{P}_{2}}=P\times 1\times 2=2P\]


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