06 Reaction Kinetics Flashcards
Rate of Reaction, ROR
Definition
The change in concentration of a particular reactant, rxt, or product, pdt, [X] per unit time.
Common Units in order:
1. mol dm-3 s-1
2. mol dm-3 min-1
3. mol dm-3 h-1
Rate of Reaction, ROR
Formula
[X]/ t
[X] = concentration of rxt/ pdt
t = time taken
Expressing ROR
- [X]-t graph
a. rxt-t graph
b. pdt-t graph
Derivations from ROR graphs
- Instantaneous Rate
- For rxt-t graph, -gradient of tangent at tx
- For pdt-t graph, gradient of tangent at tx - Initial Rate
- For rxt-t graph, -gradient of tangent at t0
- For pdt-t graph, gradient of tangent at t0 - Average Rate
- Average Rate = Initial Rate if time interval, Δt is small enough & Δt starts from 0.
Initial Rate
Definition
Instantaneous Rate when t = 0
Instantaneous Rate
Definition
The rate at a particular time.
Average Rate
Definition
The change in the concentration of a reactant or product over a time interval.
Experimental Techniques to determine ROR
- Continuous Method
a. Sampling & Titration
b. Measuring Colour Intensity at Regular Time Intervals
c. Measuring Electrical Conductivity at Regular Time Intervals
d. Measuring Volume of Gas Produced at Regular Time Intervals
e. Measuring Mass of Reaction Mixture at Regular Time Intervals
f. Measuring Pressure at Regular Time Intervals - ‘Clock’ Method aka Method of Initial Rates
a. Reaction between Thiosulfate, S2O3 and Hydrogen Ions H+
b. Reaction between Hydrogen Peroxide, H2O2 and Iodide Ions, I-
For reaction 2b, Initial Rate is inversely proportional to the time taken for the blue-black colour to appear aka Initial Rate ∝ 1/t
Rate of Reaction, ROR
Factor 1: Physical State of Rxts
- (s) or (aq) form?
- (s) particles in finely divided (s) form?
- (aq) particles are molecules or ions?
Rate of Reaction, ROR
Factor 2: Concentration of Rxts
- Concentration and the Collision Theory, CT
a. Based on CT, rxt particles must collide for rxn to occur.
b. [X] increases
c. Particles are closer together
d. Frequency of collisions increase
e. Frequency of effective collisions increase
f. ROR increases - Partial Pressures of (g) reactants (only affects (g) systems)
a. Partial Pressure = [X]
b. Increase in pressure = increase in [X]
(steps c-f)
Rate of Reaction, ROR
Factor 4: Catalyst
- Alternative pathway with lower EA than the uncatalysed reaction
- More rxt particles have EK > EA for catalysed reaction.
- Frequency of collisions increase
- Frequency of effective collisions increase
- Increase in ROR
Rate constant, K increases as well
Rate of Reaction, ROR
Factor 3: Temperature, T
- T increases
- Average kinetic energy, EK, of rxt particles increases
- More particles have EK > activation energy, EA, of reaction
- Frequency of collisions increase
- Frequency of effective collisions increase
- Increase in ROR
Rate constant, K increases as well
Rate Equation
Rate = k[A]m[B]n
m/n = order of reaction with respect to, w.r.t, A/B
Units:
- Zero-order reaction: mol dm-3 s-1
- First-order reaction: s-1
- Second-order reaction: mol-1 dm3 s-1
Interpretation of Rate Equation, rate = k[A]m[B]n
Given A + B –> C + D
1. m & n = 0 aka zero-order reaction
ROR is independent w.r.t [A] & [B]
2. m = 1, n = 0 aka first-order reaction
ROR is first-order w.r.t [A] but is independent of [B]
3. m & n = 1 aka second-order reaction
ROR is first-order w.r.t to both [A] & [B]
4. n = 2 aka second-order reaction
ROR is second-order w.r.t [B]
Half-Life, t1/2
Applicable to first-order reactions only
t1/2 = ln 2/ k
k = rate constant