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

  • question_answer Densities of two gases are in the ratio 1 : 2 and their temperatures are in the ratio 2 : 1, then the ratio of their respective pressures is        [BHU 2000]

    A)                 1 : 1       

    B)                 1 : 2

    C)                 2 : 1       

    D)                 4 : 1

    Correct Answer: A

    Solution :

               \[\frac{{{d}_{1}}}{{{d}_{2}}}=\frac{1}{2}\], \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{2}{1}\because \frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{V}_{2}}}{{{V}_{1}}}\times \frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{T}_{1}}.{{d}_{1}}}{{{T}_{2}}.{{d}_{2}}}\]                                 \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{2}{1}.\frac{1}{2}=\frac{1}{1}\]


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