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NEET Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Self Evaluation Test - States of Matter

  • question_answer
    Two vessels of volumes 16.4 L and 5 L contain two ideal gases of molecular existence at the respective temperature of \[27{}^\circ C\] and \[227{}^\circ C\] and exert 1.5 and 4.1 atmospheres respectively. The ratio of the number of molecules of the former to that of the later is

    A) 2                     

    B) 1     

    C) \[\frac{1}{2}\]                          

    D) \[\frac{1}{3}\]

    Correct Answer: A

    Solution :

    [a] Given conditions \[{{V}_{1}}=16.4L,{{V}_{2}}=5L\] \[{{P}_{1}}=1.5\,atm,\,\,{{P}_{2}}=4.1atm\] \[{{T}_{1}}=273+27=300K,\] \[{{T}_{2}}=273+227=500K\] Applying gas equation, \[\frac{{{P}_{1}}{{V}_{1}}}{{{P}_{2}}{{V}_{2}}}=\frac{{{n}_{1}}{{T}_{1}}}{{{n}_{2}}{{T}_{2}}}\] \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{P}_{1}}{{V}_{1}}{{T}_{1}}}{{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] \[\therefore \frac{1.5\times 16.4\times 500}{4.1\times 5\times 300}=\frac{2}{1}\]


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