Physical Unit 1.9: Rate Equations (A2 Kinetics) Flashcards
define rate of reaction
the change in concentration of a reactant or product per unit time
finding rates using gradients
tangents
by experiment, what can the rate of reaction be related to?
the concentration of reactants by a rate equation
what is the form of a rate equation?
rate = k[A]^m[B]^n
where m & n are the orders of reaction with respect to the reactants A & B
k is the rate constant
m & n are either 0, 1 or 2
what factor affects the value of the rate constant k & what is the formula?
temperature
k = Ae^(-Ea/RT)
A is the Arrhenius constant
Ea is activation energy
T is temp. in K
define order of reaction
order of reaction with respect to a given reactant = the power to which the concentration of the reactant is raised in the rate equation
overall order of reaction= the sum of powers of the concentration terms in the rate equation
m + n
finding orders using initial rates
1- find 2 experiments where the conc. of one reactant stays the same
2- see relationship b/w changing conc. of other reactant & initial rate
3- find 2 experiments where the conc. of other reactant stays the same OR multiply the initial rate by the calculated order of the first reactant then see relationship b/w this value –> initial rate & change in conc. of other reactant
see booklet
define rate constant
when the reaction temperature is constant
units of k
see booklet
calculation using rate equation
see booklet
what is the qualitative effect of changes in temp. on the rate constant k?
as temp. increases, rate constant k increases
increase of 10C roughly doubles k
calculation using k = Ae^(-Ea/RT)
see booklet
useful rearrangements of k = Ae^(-Ea/RT)
lnk = -Ea/RT + lnA
Ea = RT(lnA-lnk)
use lnk = -Ea/RT + lnA with experimental data to plot straight line graph
graph 1/T vs lnk
gradient is -Ea/R - straight line downwards
y-intercept is lnA
what do the concentration-time graphs look like for 0, 1st & 2nd order (w respect to a reagent)?
0:
straight line
constant rate & gradient
1st: curve
decreasing rate
2nd: curve
‘more curved than 1st’
more rapidly decreasing rate
see booklet
what do the rate-concentration (w respect to a reagent) graphs look like for 0, 1st & 2nd order?
0: straight horizontal line
1st: straight line from origin upwards
2nd: upwards curve from origin
how can rate-concentration graphs be obtained?
initial rates method
continuous rates method
compare the principle, gas production, colour change & quenching of initial rates method to continuous method
see table in booklet
define rate-determining step
the slowest step of the reaction
determines the overall rate of reaction
notes about rate-determining step
only the species involved in steps up to & including RDS appear in rate equation
species only involved after RDS do not appear
how to find RDS
find rate equation by experiment then use rate equation to deduce possible mechanisms
catalyst appears in rate equation but not in overall chemical equation
RDS is step in which you have met the reactant(s) in the rate equation the required number of times
see booklet
explain qualitatively why doubling the temp. has a greater
effect on the rate of the reaction than doubling the concentration of E
reaction occurs when molecules have E > Ea
doubling T by 10 °C causes many more molecules to have this E > Ea
whereas doubling [E] only doubles the number with this E > Ea