CET Karnataka Medical CET - Karnataka Medical Solved Paper-2004

  • question_answer
    The reaction, \[2S{{O}_{{{2}_{(g)}}}}+{{O}_{{{2}_{(g)}}}}2S{{O}_{{{3}_{(g)}}}}\]is carried out in a \[1d{{m}^{3}}\]vessel and \[2d{{m}^{3}}\] vessel separately. The ratio of the reaction velocities will be:

    A)  \[1:8\]

    B)  \[1:4\]

    C)  \[4:1\]

    D)  \[8:1\]

    Correct Answer: D

    Solution :

    \[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g)\] For this reaction, rate \[({{r}_{1}})=k[S{{O}_{2}}]_{1}^{2}{{[{{O}_{2}}]}_{1}}\]         ?...(1) On doubling the volume of vessel, concentration would be half. Hence, rate \[({{r}_{2}})=k{{\left( \frac{{{[S{{O}_{2}}]}_{1}}}{2} \right)}^{2}}\left( \frac{{{[{{O}_{2}}]}_{1}}}{2} \right)=\frac{{{r}_{1}}}{8}\] \[\frac{{{r}_{1}}}{{{r}_{2}}}=8:1\]


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