reaction mechanisms & arrhenius equation
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Reaction Mechanisms & Arrhenius Equation. Reaction Mechanisms. Some reactions are not represented in the reaction equation; such as, Absorbing light energy Colliding to the walls of the container Many reactions proceed through a sequence of steps to arrive at the products - PowerPoint PPT PresentationTRANSCRIPT
Some reactions are not represented in the reaction equation; such as,- Absorbing light energy- Colliding to the walls of the container
Many reactions proceed through a sequence of steps to arrive at the products
Each step is called an elementary reaction and occurs through collision of atoms, ions and molecules.
The slowest step in a reaction mechanism is called the Rate-determining Step
In multistep reactions, increasing the concentration of reactants at any steps other than the rate-determining step will not increase the rate of reaction
A chemical species that form and then are consumed in the reaction is called Reaction Intermediates
mX + nY -----> products of reaction or intermediates
then r α [X]m [Y]n
r = k[X]m [Y]n
When writing the reaction mechanism, there are three rules:- each step must be elementary, with no more than three
reactants- The rate-determining step must be consistent with the rate
equation- The elementary steps must all add up to be the overall
equation
Elementary reactions (Molecularity) Unimolecular; Decomposition
(ex. N2O5(g) NO2(g) + NO3(g))rate = k[N2O5]
Bimolecular; Collision of 2 atoms, ions or molecules(ex. NO(g) + O3(g) NO2(g) + O2(g))rate = k[No][O3]
Termolecular; Simultaneous collision of 3 molecules(ex. 2I(g) + Ar(g) I2(g) + Ar(g) )rate = k[I][I][Ar] = k[I]2[Ar]
Reaction mechanism is a detailed sequence of elementary reactions, with their rate, that are combined to yield the overall reaction.
Consider the mechanism:1) Cl2(g) 2Cl(g) 2) Cl(g) + CHCl3(g) HCl(g) + CCl3 (g) 3) CCl3 (g) + Cl (g) CCl4(g)
Some of the possible questions are…
a) What's the molecularity of each step?1) Unimolecular2) Bimolecular3) Bimolecular
b) Write the overall equation for the reactionCl2(g) + CHCl3(g) HCl(g) + CCl4(g)
c) Identify the reaction intermediate(s)Cl(g) & CCl3
To explain the large effect of temperature and catalysis, the Arrhenius Equation is used to account for their effects
k = Ae-Ea/RT
Ea is the activation energy (J)A is constant related to the geometry
of moleculeR is the gas constant (8.314 J/(mol•K))T is the temperature (K)
the answer k is the rate constant for the rate law equation r = k[A]n[B]m
By taking ln (natural log) to each side,ln k = -Ea/RT + ln A
Arrhenius equation is written for the rate constant determined at each temperature giving, ln k1 = -Ea/RT1 + ln A
ln k2 = -Ea/RT2 + ln A Subtracting second equation from the first,
ln(k1/k2) = -Ea/R(1/T1 – 1/T2) The rate and the rate constant are directly
proportional to each other as long as the concentrations are held constant.
Examples At 200K the rate constant for a reaction is
3.5 X 10-3s-1 , and at 250K the rate constant is 4.0X 10-3s-1 . What is the activation energy?Ea = 1.11KJ/mol
What is the rate of reaction at 450oC if the reaction rate is 6.75 X 10-6mol/(L*s) at 25oC? The activation energy was previously determined to be 35.5kJ/mol.The rate of reaction at 450oC is 3.05 X 10-2 mol/(L*s)
To test the answer for reasonableness, two principles must be remembered:1) The larger rate constant (or rate) will always be associated with the higher temperature2) The activation energy always has a positive sign.
Reactions that contain more than 3 molecules colliding occurs in multi-steps
Each elementary step should only have 3 or less reactants
r = k[A]n[B]m k = Ae-Ea/RT
Temperature and activation energy affects the value of k exponentially