The rate constant for a first order reaction is 20 min - 1 . The time required for the initial concentration of the reactant to reduce to its 1 32 level is _ _ _ _ _ _ × 10 - 2 min . (Nearest integer)

Question

The rate constant for a first order reaction is 20 min - 1 . The time required for the initial concentration of the reactant to reduce to its 1 32 level is _ _ _ _ _ _ &#215; 10 - 2 min . (Nearest integer)

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For a first order reaction, we know: t 1 / 2 = 0 . 693 k = 0 . 693 20 = 0 . 03465 &#160; min From the relation of half lives(where 'n' is the no. of half-lives): &#8658; 1 2 n = 1 32 = 1 2 5 Thus, No. of Half life = 5 &#8756; Time required = 0 . 03465 &#215; 5 = 0 . 17325 &#160; min = 17 . 325 &#215; 10 - 2 &#160; min

The rate constant for a first order reaction is 20 min - 1 . The time required for the initial concentration of the reactant to reduce to its 1 32 level is _ _ _ _ _ _ × 10 - 2 min . (Nearest integer)

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More from Chemical Kinetics

The rate constant for a first order reaction is 20 min - 1 . The time required for the initial concentration of the reactant to reduce to its 1 32 level is _ _ _ _ _ _ &#215; 10 - 2 min . (Nearest integer)

Correct answer

Step-by-step solution

More from Chemical Kinetics

The rate constant for a first order reaction is 20 min - 1 . The time required for the initial concentration of the reactant to reduce to its 1 32 level is _ _ _ _ _ _ × 10 - 2 min . (Nearest integer)