Question

t₁/4 can be taken as the time taken for the concentration of a reactant to drop to 3/4 of its initial value. If the rate constant for a first order reaction is K, the t₁/4 can be written as

0.10 / K

0.29 / K

0.69 / K

0.75 / K

Solution

0.29 / K

straight t subscript bevelled 1 fourth end subscript space equals fraction numerator 2.303 over denominator straight K end fraction space log space fraction numerator 1 over denominator 1 minus begin display style 1 fourth end style end fraction space equals space fraction numerator 0.29 over denominator straight K end fraction

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