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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
    The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is: (Atomic masses:\[He=4u,\text{ O}=16u\])

    A) 300 K               

    B) 600 K

    C) 1200 K             

    D) 2400 K

    Correct Answer: D

    Solution :

    [d] \[{{V}_{rms}}=\sqrt{\frac{3RT}{M}}\] \[{{V}_{rms({{O}_{2}})}}={{V}_{rms(He)}}\] \[\sqrt{\frac{3RT{{o}_{2}}}{M{{o}_{2}}}}=\sqrt{\frac{3R{{T}_{He}}}{{{M}_{He}}}}\] Or \[\frac{T{{o}_{2}}}{M{{o}_{2}}}=\frac{{{T}_{He}}}{{{M}_{He}}}\] \[\therefore T{{o}_{2}}=\frac{300\times 32}{4}=2400K\]


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