Table 3 4: Integrated Rate Laws for the Reactions of Zero and First Order
Order
Reaction
Differential
Integrated
Straight
Half-
Units of k
type
rate law
rate law
line plot
life
0
R® P
d[R]/dt = -k
kt = [R]0-[R]
[R] vs t
[R]0/2k
conc time-1
or mol L–1s–1
1
R® P
d[R]/dt = -k[R]
[R] = [R]0e-kt
ln[R] vs t
ln 2/k
time-1 or s–1
or kt =
ln{[R]0/[R]}
Rationalised 2023-24
78
Chemistry
Most of the chemical reactions are accelerated by increase in temperature For example, in decomposition of N2O5, the time taken for half of the
original amount of material to decompose is 12 min at 50oC, 5 h at
25oC and 10 days at 0oC You also know that in a mixture of potassium
permanganate (KMnO4) and oxalic acid (H2C2O4), potassium
permanganate gets decolourised faster at a higher temperature than
that at a lower temperature