KVPY Sample Paper KVPY Stream-SX Model Paper-5

  • question_answer
    For the reaction \[2A+B\to C,\] the values of initial at different reactant concentrations are given in table below. The rate law for the reaction is:
    [A] \[(mol\,{{L}^{-\,1}})\] [B] \[(mol\,{{L}^{-\,1}})\] Initial Rate \[(mol\,L{{\,}^{-\,1}}s{{\,}^{-1}})\]
    0.05 0.05 0.045
    0.10 0.05 0.090
    0.20 0.10 0.75

    A)         Rate = \[k[A][B]\]          

    B) Rate = \[k[A]{{[B]}^{2}}\]

    C)        Rate = \[k{{[A]}^{2}}{{[B]}^{2}}\]   

    D) Rate =\[k{{[A]}^{2}}[B]\]

    Correct Answer: B

    Solution :

    \[r=k{{[A]}^{\rho }}{{[B]}^{q}}\]
    \[\frac{{{r}^{2}}}{{{r}_{1}}}={{\left[ \frac{{{A}_{2}}}{{{A}_{1}}} \right]}^{\rho }}{{\left[ \frac{{{B}_{_{2}}}}{{{B}_{1}}} \right]}^{q}}\]
    \[{{2}^{I}}={{2}^{\rho }}\]               \[(p=1)\]
    \[\frac{{{r}^{3}}}{{{r}_{2}}}={{\left[ \frac{{{A}_{3}}}{{{A}_{2}}} \right]}^{I}}{{\left[ \frac{{{B}_{3}}}{{{B}_{2}}} \right]}^{q}}\]
    \[\frac{720}{90\times 2}={{2}^{q}}=4={{2}^{2}}\]

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