A molecule undergoes two independent first order reactions whose respective half lives are 12 min and 3 min. If both the reactions are occurring then the time taken for the 50% consumption of the reactant is min. (Nearest integer)
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For parallel reaction
When adding the rate constants of the two reactions, we need to use the formula for combining rate constants of two reactions in parallel, which is:
k = k 1 + k 2
where k 1 and k 2 are the rate constants of the individual reactions.
In this case, the half-lives of the two reactions are 12 min and 3 min, respectively. The rate constants of the two reactions can be calculated using the formula for half-life of a first-order reaction:
Hence time taken for 50% consumption of reactant will be close to 2 min.
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