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NEET Sample Paper NEET Sample Test Paper-58

  • question_answer
    Containers A and B have same gaseous, pressure, volume and temperature of A are all twice that of B. Then ratio of the number of molecules of A and B are:

    A) 1:2                               

    B) 2:1   

    C) 1:4                               

    D) 4:1

    Correct Answer: B

    Solution :

    [b] \[2:1\] \[For\text{ }B,\] \[{{P}_{1}}=P,{{V}_{1}}=V,{{T}_{1}}=T\] For A, \[{{P}_{1}}=2P,\text{ }{{V}_{2}}=2P,\text{ }{{T}_{2}}=2T\] Applying ideal gas equation \[PV=nRT\] \[\frac{{{P}_{1}}{{V}_{1}}}{{{n}_{1}}R{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{n}_{2}}R{{T}_{2}}}\] \[\frac{{{P}_{1}}{{V}_{1}}}{{{n}_{1}}R{{T}_{1}}}=\frac{2P\times 2V}{{{n}_{2}}R(2T)}\] \[\frac{{{n}_{2}}}{{{n}_{1}}}=\frac{2}{1}\] \[i.e\,2:1\]


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