A decomposition reaction has a rate constant of 0.0012

Chapter 16, Problem 34P

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QUESTION:

Problem 34P

A decomposition reaction has a rate constant of 0.0012 yr?1. (a) What is the half-life of the reaction? (b) How long does it take for [reactant] to reach 12.5% of its original value?

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QUESTION:

Problem 34P

A decomposition reaction has a rate constant of 0.0012 yr?1. (a) What is the half-life of the reaction? (b) How long does it take for [reactant] to reach 12.5% of its original value?

ANSWER:

Solution 34P

Step 1

(a) We have to calculate the  half-life of the reaction.

A decomposition reaction has a rate constant k =  0.0012 yr

The half-life of the reaction can be calculated as,

t1/2  = ln2/ k

     = ln2 / 0.0012 yr

     = 577.62 or 5.8  102 yr

Thus half-life of the reaction is 5.8  102 yr.

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