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

  • question_answer
    The rms speed of \[{{N}_{2}}\] molecules in a gas is u. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

    A)                 \[u/2\] 

    B)                 2u

    C)                 4u          

    D)                 14u

    Correct Answer: B

    Solution :

               \[\frac{{{U}_{1}}}{{{U}_{2}}}=\sqrt{\frac{{{n}_{1}}{{T}_{1}}}{{{n}_{2}}{{T}_{2}}}}=\sqrt{\frac{n\times T}{2n\times 2T}}=\sqrt{\frac{1}{4}}=\frac{1}{2}\]                                 \[{{U}_{2}}=2{{U}_{1}}=2U\]


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