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The reaction 2A?B is second order with a rare constant of

Chapter 13, Problem 7PE

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QUESTION:

The reaction 2A ⟶ B is second order with a rate constant of 51/M  min at 24°C. (a) Starting with \([A]_{0}\) = 0.0092 M, how long will it take for \([A]_{t}=3.7 \times 10^{-3}\) M? (b) Calculate the half-life of the reaction.

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QUESTION:

The reaction 2A ⟶ B is second order with a rate constant of 51/M  min at 24°C. (a) Starting with \([A]_{0}\) = 0.0092 M, how long will it take for \([A]_{t}=3.7 \times 10^{-3}\) M? (b) Calculate the half-life of the reaction.

ANSWER:

Step 1 of 4

Given data

Rate constant k=.

Concentration of .

Concentration of (0.0037 M).

The time taken by the reaction is calculated by using the integrated rate law for  order reaction represented as given below:

;

Where,

k is the rate constant of the second-order reaction.

t is the time taken by the reaction.

 is the initial concentration of reactant.

is the concentration of a reactant at time t.

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