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A first-order reaction has a half-life of 20 seconds. Calculate the rate constant for this reaction. GIve your answer to 3 decimal places.

Question

A first-order reaction has a half-life of 20 seconds. Calculate the rate constant for this reaction. GIve your answer to 3 decimal places.

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Solution

The rate constant (k) of a first-order reaction can be calculated using the formula:

k = 0.693 / t1/2

where: k is the rate constant, t1/2 is the half-life of the reaction.

Substituting the given value of t1/2 into the formula, we get:

k = 0.693 / 20 s = 0.03465 s^-1

So, the rate constant for this reaction is approximately 0.035 s^-1 when rounded to three decimal places.

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