NEET Sample Paper NEET Sample Test Paper-80

  • question_answer
    For a first order chemical reaction, rate constant was found to be \[1.15\,\,\times \,\,{{10}^{-}}^{3}{{s}^{-}}^{1}\]. How long will it take to reduce 5 g of reactant to 3 g?

    A)  222 s               

    B)  444 s

    C)  602 s               

    D)  301 s

    Correct Answer: B

    Solution :

    Given, \[\operatorname{K}\,\,=\,\,1.15\,\,\times \,\,1{{0}^{-\,3}}\,{{s}^{-1}}\] We know that \[K=\frac{2.303}{t}\log \,\frac{{{[a]}_{0}}}{{{[a]}_{t}}}\] \[t=\frac{2.303}{K}\log \,\,\left( \frac{5}{3} \right)\] \[=\,\,\,\frac{2.303}{1.15\times {{10}^{-\,3}}}\,(\log \,5-\log \,3)\] \[=\,\,\,\frac{2.303}{1.15\times {{10}^{-\,3}}}\,(0.698-0.477)\] \[=\,\,2\times 0.222\times 1{{0}^{3}}\] \[=\text{ }444\text{ }s\]


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