Physical Chemistry of Foods

TABLE4.1 Overview of Rate Equations

Order Rate equation Integrated form t 0 : 5 Units ofk

0

d½AŠ

dt

¼k ½AŠ 0 
½AŠ¼kt

½AŠ 0

2 k

mol?L
^1 ?s
^1 (4.1)

1

d½AŠ

dt

¼k½AŠ½AŠ¼½AŠ 0 expð
ktÞ

ln 2

k

s
^1 (4.2)

2

d½AŠ

dt

¼k½AŠ^2

1

½AŠ

1

½AŠ 0

¼kt

1

½AŠ 0 k

L?mol
^1 ?s
^1 (4.3a)

2*

d½AŠ

dt

¼k½AŠ½BŠ

1

½BŠ 0
½AŠ 0

ln

½BŠ½AŠ 0

½AŠ½BŠ 0

¼kt —L?mol
^1 ?s
^1 (4.3b)

n

d½AŠ

dt

¼k½AŠn ½AŠ^1 
n
½AŠ^10 
n¼ðn
 1 Þkt —Ln
^1 ?mol^1 
n?s
^1 (4.4)

Second-order reactions of two kinds are given: for the reaction 2A!A 2 and for AþB!ABð 2 *Þ. In the latter case different kinds of half time can
be defined.ncan be any positive number except unity.