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Chapter 16: Q16.118 CP (page 735)

The molecular scenes below represent the first-order reaction as cyclopropane (red) is converted to propene (green):

Determine (a) the half-life and (b) the first-order rate constant.

Short Answer

Expert verified

Half-life is0.60s-1

b. Rate constant for a reaction is K=1.163s-1

Step by step solution

01

Half-life

Half-life is defined as the period to convert half of the reactant to the product

As per the diagram given half of the red balls are converted into the green balls.

Let the time taken convert these balls as x

So, the rest half will take some time that is x so that the half-life becomes 2x

Let x=0.30

Then half-life is 0.60 s-1

02

Rate constant

For the first-order kinetic the half-life is inversely proportional to the rate constant

t1/2=0.698K

So,

t1/2=0.698KK=0.698t1/2K=0.6930.60K=1.163s-1

The rate constant for a reaction is K=1.163s-1

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