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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

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

    A)  403K                                    

    B)  303K

    C)  606 K                                     

    D)  273 K

    Correct Answer: C

    Solution :

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


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