JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer Containers \[A\] and \[B\] have same gases. Pressure, volume and temperature of \[A\] are all twice that of \[B,\] then the ratio of number of molecules of \[A\] and \[B\] are                 [AFMC 2004]

    A)                 1 : 2       

    B)                 2

    C)                 1 : 4       

    D)                 4

    Correct Answer: B

    Solution :

               According to gas law                    \[PV=nRT\], \[n=\frac{PV}{RT}\]                    \[\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{\frac{{{P}_{1}}{{V}_{1}}}{R{{T}_{1}}}}{\frac{{{P}_{2}}{{V}_{2}}}{R{{T}_{2}}}}\]; \[\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}\times \frac{{{T}_{2}}}{{{P}_{2}}{{V}_{2}}}\]                                 \[\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{2P\times 2V}{2T}\times \frac{T}{PV}\];  \[\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{2}{1}\]

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