For a first-order reaction, after 2.00 min, 20% of the reactants remain. Calculate the rate constant for the reaction. 1. 74.6 s−1 2. 0.00582 s−1 3. 0.000808 s−1 4. 0.00186 s−1 5. 0.013412 s−1

The rate constant for the reaction is

Explanation:

Rate law expression for first order kinetics is given by the equation:

where,

k = rate constant  = ?

t = time taken for decay process = 2.00 min = 120 seconds   (Conversion factor: 1 min = 60 seconds)

= initial amount of the sample = 100 grams

[A] = amount left after decay process =  20 grams

Putting values in above equation, we get:

Hence, the rate constant for the reaction is

answer

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