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99 % of a reaction was completed in 40 minutes for which rate constant is independent of initial concentration When will 99.9 % of the reaction complete?

Option: 1

 100 minutes
 


Option: 2

 1 hour
 


Option: 3

 120 minutes
 


Option: 4

 80 minutes


Answers (1)

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\begin{aligned} \mathrm{k} & =\mathrm{\frac{2.303}{t} \log \left(\frac{a}{a-x}\right) }\\ \mathrm{k} & =\mathrm{\frac{2.303}{40} \log \left(\frac{100}{100-99}\right) }\\ \mathrm{k} & =\mathrm{\frac{2.303}{20} }\\ \mathrm{t} & =\mathrm{\frac{2.303}{2.303} \times 20 \log \left(\frac{100}{100-99.9}\right) }\\ \mathrm{t} & =\mathrm{20 \log (1000) }\\ \mathrm{t} & =\mathrm{60 \text { minutes }}\\ \end{aligned}

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Sumit Saini

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