KVPY Sample Paper KVPY Stream-SX Model Paper-31

  • question_answer
    Rate constant \[k=2.303\,\,{{\min }^{-1}}\] for a particular reaction. The initial concentration of the reaction is 1 mol/litre then rate of reaction after 1 minute is

    A) \[2.303\,\,M\,\,{{\min }^{-1}}\]

    B) \[0.2303\,\,M\,\,{{\min }^{-1}}\]

    C) \[0.1\,\,M\,\,{{\min }^{-1}}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[k=\frac{2.303}{t}\log \,\,\left( \frac{{{C}_{{{A}_{0}}}}}{{{C}_{A}}} \right)\]
    \[2.303\,\,\times \,\,1=2.303\,\,\log \left( \frac{{{C}_{{{A}_{0}}}}}{{{C}_{A}}} \right)\]
    \[\frac{{{C}_{{{A}_{0}}}}}{{{C}_{A}}}=10\]
    \[\therefore \,{{C}_{A}}\Rightarrow \frac{1}{10}\Rightarrow 0.1\]
    Rate after 1 min \[{{r}_{1}}=k.{{C}_{A}}\] \[\Rightarrow 2.303\times 0.1\]            \[\Rightarrow 0.2303\,\,M\,{{\min }^{-1}}\]


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