Definitions
Order
the sum of the exponents on the reactants
What are the units of k for: Zero Order, First Order, Second Order
0: M*s-1
1: s-1
2: M-1*s-1
Rate Law
The relationship between the rate of the reaction and the concentration of the reactant OR The rate of a reaction is directly proportional to the concentration of each reactant raised to a power.
Rate Law general formula
Rate = k[A]n
Where k is the rate constant, A is the concentration of the reactant, and n is the reaction order
Rewrite the following into log(x) = mlog(x) form --- 9 = 3m
log (9) = m log(3)
Zero Order Reaction
the rate of the reaction is always the same. The rate is independent of the concentration
Zero Order Formula
Rate = k[A]0 --> Rate = k
Zero Order Integrated Rate Law
[A]t = -kt + [A]0
Zero Order Half Life Expression
t1/2 = ([A]0)/2k
Zero Order Plot
x-axis: time; y-axis: [A]; y-intercept: [A]0; Slope: -k
First Order Reaction
the rate is directly proportional to the reactant concentration
First Order Formula
Rate = k[A]1
First Order Integrated Rate Law
First Order Half Life Expression
t1/2 = (0.693)/k
First Order Plot
x-axis: time; y-axis: ln[A]; y-intercept: ln[A]0; Slope: -k
Second Order Reaction
the rate is directly proportional to the square of the reactant concentration
Second Order Formula
Rate = k[A]2
Second Order Integrated Rate Law
(1/[A]t) = kt + (1/[A]0)
Second Order Half Life Expression
t1/2 = 1/(k[A]0)
Second Order Plot
x-axis: time; y-axis: (1/[A]); y-intercept: (1/[A]0); Slope: k