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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2010

  • question_answer
    To what temperature should the hydrogen at room temperature\[(27{}^\circ C)\]be heated at constant pressure so, that the rms velocity of its molecules becomes double of its previous value?

    A)  \[1200{}^\circ C\]           

    B)  \[927{}^\circ C\]

    C)  \[600{}^\circ C\]            

    D)  \[108{}^\circ C\]

    Correct Answer: D

    Solution :

     \[{{V}_{rms}}\propto \sqrt{T}\] \[\therefore \] \[\frac{{{({{v}_{rms}})}_{2}}}{{{({{v}_{rms}})}_{1}}}=\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}\] \[2=\sqrt{\frac{{{T}_{2}}}{300}}\] \[{{T}_{2}}=1200\,K=927{}^\circ C\]


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