kinetics
the study of the ratewith which a chemical reaction occurs, the factorsthat affect the reaction rate, and the mechanismof reaction.
concentrations as a Function of Time
The reactantconcentration decreases(consumed), and the productconcentration increases(formed) with time.2NH3(g) →N2(g)+ 3H2(g)
rate of a reaction
is a measure of the speedat which a reaction occurs (mol/L • s)– always positive; samefor reactants or products.– expressed as the change in concentration of reactants (−)or products (+) divided by the change in tim
Generic Reaction:
aA+ bB→cC+ dDA and B are reactants, C and D are products;a, b, c, and dare the stoichiometric coefficients
average rate of reaction:
ate of a chemical reaction computed as the ratio of a change in concentration to the time interval over which the change occurred
nstantaneous rate of reaction:
ate of a chemical reaction at any instant in time, determined by the slopeof the line tangential to a graph of concentration as a function of time.2NH3(g) → N2(g)
nitial rate
instantaneous rate of a chemical reaction at t = 0 s (immediately after the reaction has begun)
Rate law:
mathematical expressions that describe the relationship between the rateof a chemical reaction and the concentration of its reactants
•n= 0
zero order
The unit of k: M • s−1
rate= k (A)o = k
n=1
1st order
units: s-1
rate = k(a)1=k(a)
n=2
2nd order
unitz; : M−1• s−1
rate= k(a)2
Determining a rate law from initial rates:
•The rate laws
shows the relationship between therateof areaction and theconcentrationsof the reactants.– How reaction rate depends on concentration of reactant
rate= k(a)n
•The integrated rate law
for a chemical reaction is an equation that relates the concentration of a reactant to elapsed timeof reaction– How concentration of reactants depends on reaction time. – The integrated forms of the rate laws
half-life (t1/2) of
f a reaction is the time required for one-half of a given amount of reactant to be consumed.
half life zwero order
depeding on initual concentration
half life 1st order
independent of intial concentration
half life seconf order
depending on intial concentration
collision theory
model that emphasizes the energyand orientationof molecular collisionsto explain and predict reaction kinetics
Three postulates for collision theory:
Activated complex:
unstable combination of reactant species representing the highest energy state of a reaction system– transition state, reaction intermediate, not final product
Activation energy (Ea)
The minimumenergy necessary to form a product during a collision between reactants.
Arrhenius equation:
mathematical relationship between the rate constant and the activation energy of a reaction
Collision theory:
model that emphasizes the energyand orientationof molecular collisionsto explain and predict reaction kinetics