Summary of Rate Laws for Zero, First, and Second Order Reactions

Zero Order Rate

rate=k

First Order Rate

rate=k[A]

Second Order Rate

rate=k[A]²

Unit of Rate Constant Zero-Order

M s^-1

Unit of Rate Constant First-Order

s^-1

Second Order Unit of Rate Constant

M^-1 s^-1

Integrated Rate Law Zero Order

[A] = -kt+[A]₀

Integrated Rate Law First Order

ln[A]=-kt+ln[A]₀

Integrated Rate Law Second Order

1/[A]=kt+(1/[A]₀)

Plot Needed for Linear Fit Zero-Order

[A] vs t

Plot Needed for Linear Fit First-Order

ln[A] vs t

Plot Needed for Linear Fit Second Order

1/[A] vs t

relationship between slope of linear plot and rate constant

k=-slope

half life for zero order

t_1/2= [A]₀/2k

half life for first order

t_1/2 = 0.693/k

half life for second order

t_1/2= 1/[A]₀k