Chapter 20, Problem 29E

Interpretation Introduction

Interpretation:

The approximate half-life for the first order reaction is to be determined.

Set I		Set II		Set III
Time, s	[A], M	Time, s	[A], M	Time, s	[A], M
0	1.00	0	1.00	0	1.00
25	0.78	25	0.75	25	0.80
50	0.61	50	0.50	50	0.67
75	0.47	75	0.25	75	0.57
100	0.37	100	0.00	100	0.50
150	0.22			150	0.40
200	0.14			200	0.33
250	0.08			250	0.29

Concept introduction:

• Zero-order reaction- for this, rate of reaction is independent of the concentration.

And the graph of zero order reaction is-

• The first order reaction is the one in which the rate is directly proportional to the concentration of one of the reactant.

And half-life is

Integral rate law for first order reaction is −

and

• The second order reaction is the one in which the rate is directly proportional to the square of the concentration of one of the reactant.

Integral rate law for second order reaction is −

And the graph of second order reaction is-