Rate equations (y13) Flashcards
rate = k[A]^m [B]^n
m and n = orders of reaction with respect to reactants A and B
K = rate constant
rate K constant values
varies with temperature
rate equations show –> In rate equations, the mathematical relationship between rate of reaction and concentration gives
information about the mechanism of a reaction that may occur in several steps.
rate constant affected by temperature equation
k = Ae–Ea/RT
where A is a constant, known as the Arrhenius constant,
Ea is the activation energy and T is the temperature in K
key mark scheme points when making a graph
-sensible scales (cover at least half of the paper and not above squares)
-line through points must be smooth
-line of best fit ignores anomalies
-calculate gradient
expectations for a catalyst to be in rate equation
-It must have a measurable and quantifiable effect on the rate of reaction
-The catalyst must be homogeneous
-If a chemical appears in a rate equation but is not one of the reactants, then it is a catalyst
write the rate law for this equation
2NO (g) + O2 (g) –> 2NO2 (g)
K {NO]^2 {H2}^2
rate of reaction and units
Rate of reaction is the change in concentration of a product or reactant per unit time
Units of ROR = mol dm^-3 s^-1
Average
Instant
Average = averaged over the whole time of the experiment
Instant = rate at a particular time
rate expression
-rate expression tells us how the concentration of reactants and catalysts affect the reaction rate. Derived from experimental data
-rate = K{A}^a {B}^b
-rate of reaction depends on some or all the species in the reaction vessel
how can rate data be determined experimentally
-data of concentration and initial rate
-plotting a graph and look at shape
-plotting a graph with logarithmic scale of concentration and rate (will always be straight, gradient is the rate order)
changing temperature and pressure
If temperature increases or a catalyst is used the rate of reaction increases but concentrations remain constant. Rate constant (K) increases.
Rate constant (K) is unaffected by pressure change. When pressure increases, concentration increases and K remains constant
determining rate equation
K = rate / {R}
R = reacts with s to make products
Rate = K {R}
1) Find pair of experiments -> concentrations must be same
2) calculate how many times greater concentration of other reactant was
3) find rate reactant
4) calculate K and find units
order of a reaction
The order of a reactant shows how the concentration of a reactant affects the rate of reaction
It is the power to which the concentration of that reactant is raised in the rate equation
The order can be 0, 1 or 2
When the order of reaction of a reactant is 0, this means that it has no effect on the rate of the reaction and therefore is not included in the rate equation at all (unchanged)
When the order of reaction of a reactant is 1, the rate is directly proportional to the concentration of that reactant (x A)
When the order of reaction of a reactant is 2, the rate is directly proportional to the square of the concentration of that reactant (x A^2)
The overall order of reaction is the sum of the powers of the reactants in a rate equation
E.g Rate = k [NO]2 [H2]
Second-order with respect to NO
First-order with respect to H2
Third-order overall (2 + 1)
half life
The half-life (t1/2) is the time taken for the concentration of a limiting reactant to become half of its initial value
concentration vs time graph
-Graphs of concentration of reactant against time give some clues to the order or the reagent
-straight line = reaction is zero order –> constant with change if conc so conc doesn’t havent rate of reaction
-curve = first or second order
arrhenius equation
k = A e − E a R T
calculating gradient then change in concentration
1) Draw tangent then do change in y / change in X to get gradient
2) change in concentration x (A)2
3) Square root answer to get new {A}
A as pre-expoential factor
pre-exponential factor is related to collision frequency and the orientation of the particles (Same units as K)
rearranged arrhenius question (remove expoential)
Easier way of figuring out Arrhenius equation –> LnK = LnA – (Ea / RT)
rearranged to find activation energy
-Ea = RT (Ink – InA)
rearrnaged to find T
T = Ea / (InA – InK) x R
rearranged to find A
InA = InK + Ea / RT
arrhenius equation in relation to y=mx + c
Y= Ink = y-axis
M = Ea / R
X = 1/T = x axis
C = InA
rearrnged rate constant
K = rate / [C] [D]
units of K = mol-1dm3s-1
calculate Ea at 25 degrees in KJ
InA = 16.9
R = 8.31
K = 0.028
temp = 298
-Ea = RT (InK-InA) / 1000
(8.31) (In0.028 - 16.9) = 51
dont need In for A in equation as it is already provided in the equation
order reaction
relationship between concentration of the reactant and rate of reaction
order of reaction
-straight line –> if you change conc by x2 the rate does nothing
-straight line diagnoal –> if you change conc by 2 sometimes rate will be x2
-curve –> if you change conc by x2 sometimes the rate will be x4
zero order
A + B –> C
-increase A by a factor of X there is no change in rate
1st and 2nd order
A + B –> C
1st –> if we increase A by x and the rate increases by x we describe the order with respect to A as one
2nd –> if we increase A by x and the rate increases by X sqaured the rate is respective to A as two
K [NO]2 [H2]
NO = 2nd
H2 = 1st