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JEE Main & Advanced Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Molecular speeds

  • question_answer
    If the \[{{v}_{rms}}\] is \[30{{R}^{1/2}}\] at \[{{27}^{o}}C\] then calculate the molar mass of gas in kilogram.        [DPMT 2005]

    A)                 1             

    B)                 2

    C)                 4             

    D)                 0.001

    Correct Answer: D

    Solution :

               \[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}\]                    \[\sqrt{{{30}^{2}}R}=\sqrt{\frac{3RT}{M}}\] Þ \[30\times 30R=\frac{3R\times 300}{M}\]                                 Þ \[M=\frac{3\times 300}{30\times 30}1\,gm=0.001\,kg\].


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