General form of a rate equation
The rate of a chemical reaction is related to the
concentration of reactants by a rate equation of the form:
Rate = k[A]^m [B]^n
where m and n are the orders of reaction with respect to
reactants A and B and k is the rate constant
overall order of reaction is (m+n) e.g. 2nd, 3rd
The orders m and n are restricted to the values 0, 1, and
2
rate ∝ [A] [B]
what happens if [A] is doubled
What happens if [A] AND [B] is doubled
rate ∝ [A][]/B] (determined experimentally
If [A] doubled, rate is doubled
If [A] and [B] is doubled, the rate quadruples
rate ∝ [A] [B]^2
WHAT HAPPENS IF [A] is doubled
If [B] is doubled
If [A] AND [B] is doubled
If [A] is doubled, rate doubles
If [B] is doubled, rate quadruples
If [A] and [B] double, rate increases by a factor of 8
What do the units of the rate constant depend on
They depend on the species and their order of reaction in the rate equation
rate = k[A]
k = rate / [A]
rate is in moldm-3s-1
k = mold-3s-1 / moldm-3 = s-1
sometimes have to square moldm-3 if [A]^2
Someitmes no units
Units of K vary
How does temperature affect the rate constant
The rate constant k varies with temperature
Which equation shows how the rate constant varies with temperature
The rate constant k varies with temperature as shown by
the equation:
k = Ae^–Ea/RT
where A is a constant, known as the Arrhenius constant,
A - value varies depending on reaction
Units same as k
Ea is the activation energy in Jmol-1
and T is the temperature in K.
R = gas constant = 8.31 Jmol-1K-1
Define order of reaction
Define rate constant
explain the qualitative effect of changes in
temperature on the rate constant k
How else can k = Ae^–Ea/RT be rearranged
ln k = –Ea /RT + ln A
ln k = –Ea /RT + ln A significance
know how to use this rearranged equation with
experimental data to plot a straight line graph with
slope –Ea/R
How is the rate equation determined
The rate equation is an experimentally determined
relationship.
The orders with respect to reactants can provide
information about the mechanism of a reaction.
Do catalysts appear in the rate equation
Catalysts which do not appear in the chemical equation may appear in the rate equation.
(Since catalysts affect rate)
E.g. P + Q -> R
T is a catalyst
rate = k[P]^2 [T]
Do all species in a chemical equation appear in the rate equation
Species that appear in the chemical equation do not necessarily appear in the rate equation
rate graphs conc./time
rate = Δ [A] / Δ t
Δ y / Δ x
draw tangents if curve
just draw a big triangle is straight line
How to determine order of reaction from a graph
Using a rate/conc. graph
Shows how rate varies with a changing concentration
straight horizontal line = 0 order
straight line through the origin = 1st order
Curve = greater than 1st order e.g. 2nd order
Explain how you can determine the rate equation
how can you find the orders of a reaction with respect to reactants and consequently the rate equation
the orders of a reaction with respect to reactants and consequently the rate equation ARE FOUND EXPERIMENTALLY
Initial rate of reaction is the rate right at the start of the reaction
YOU CAN FIND INITIAL RATE OF REACTION FROM A CONC.-TIME GRAPH BY CALCULATING THE GRADIENT OF THE TANGENT AT TIME = 0
you can find the order of reaction by using the initial rate method
The rate at the start of a reaction between reactants of known concentration, is measured
The concentration of the reactants is then changed, one at a time, and effect on rate is measured
A comparison of the initial concentration of initial rates for pairs of experiments allows the order with respect to each reactant to be found
How is the overall rate of reaction determined
Mechanisms can have one step or a series of steps.
in a series of steps, each step can have a different rate
the overall rate is determined by the step with the slowest rate - the rate determining step
Orders of reaction and RDS
The order of a reaction with respect to a reactant shows the number of molecules of that reactant that are involved in the Rate determining step
So if a reaction is second order with respect to X, there will be two molecules of X in the RDS
IF a reactant appears in the rate equation, it must affect rate
So this reactant, or something derived from it, must be in the rate determining step
If a reactant doesnt appear in the rate equation, then it wont be involved in the rate determining step (and neither will anything be derived from it.)
not in rate equation, it CANNOT BE INVOLVED in the Rate determining step
Cl ‘ + O3 -> CLO’ + O2 - slow
CLO ‘ + O ‘ -> CL’ + O2 - fast
determine the rate equation and the overall order of the reaction
rate = k [CL’] [O3]
1st reaction - slow (rate detemining step)
Cl’ and O3 must both be in the rate equation, so the rate equation will be rate = k[Cl’]^m [O3]^n
there is one molecule of CL’ radical and one O3 molecule in the RDS, so the orders, m and n, are both 1
Reaction step may involve breaking strong carbon-bromine bonds, so this will be a slow change
If the OH- conc. is high, the positive ion has a good chance of colliding with one. So this step will be fast