CET Karnataka Medical CET - Karnataka Medical Solved Paper-2001

  • question_answer
    At what temperature will the RMS velocity of \[S{{O}_{2}}\] be the same as that of \[{{O}_{2}}\] at 303 K?

    A)  \[403K\]       

    B)  \[303K\]

    C)  \[606\text{ }K\]  

    D)  \[273K\]

    Correct Answer: C

    Solution :

    The RMS velocity of \[S{{O}_{2}}\] \[=\frac{3RT}{M}\] The RMS velocity of \[{{O}_{2}}\] \[=\frac{3RT}{M}\] In case of \[S{{O}_{2}},\]\[T=303\] molecular \[wt=64\] \[\therefore \] \[\frac{3R\times 303}{64}\] In case of \[{{O}_{2}}T=?\,M=32\] \[\therefore \] \[\frac{3R\times 303}{32}=\frac{3R\times T}{64}\] \[\therefore \] \[T=\frac{64}{32}303=606\]


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