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Half-life of a first order reaction from its rate at a given concentration

The same question, asked 2 times: 10 May 2023 S2*, 11 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S2

    86
    Rate of a first order reaction is 1.5×10−2 mol L−1 minute−11.5 \times 10^{-2}\,\text{mol}\,\text{L}^{-1}\,\text{minute}^{-1} at 0.5 M concentration of reactant, calculate half life of reaction.

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  2. Question 2

    11 May 2024 S1

    81
    What is half life time of a first order reaction if initial conc. of reactant is 0.01 mol L−1^{-1} and rate of reaction is 0.003520.00352 mol L−1^{-1} minute−1^{-1}?

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