Chemical kinetics Lecture-13
Recap
$ln k_2-ln k_1=[ln A-\frac{E_a}{RT_2}]-[ln A-\frac{E_a}{RT_1}]$
$ln\frac{k_2}{k_1}=\frac{E_a}{R}[\frac{1}{T_1}-\frac{1}{T_2}]……(7)$
Example
ln$ \frac{k_2}{k_1}$ = $\frac{Ea}{R}[\frac{1}{T_1}-\frac{1}{T_2}]$
ln$\frac{k_2}{k_1}$ = $\frac{137×10^3 Jmol^{-1}}{8.314 Jk^{-1}mol^{-1}}[\frac{1}{420k} - \frac{1}{430k}]$
ln$\frac{k_2}{k_1}$ = $\frac{137×10^3 Jmol^{-1}}{8.314 Jk^{-1}mol^{-1}}[\frac{430-420}{420×430}]k^{-1}$
ln $\frac{k_2}{k_1}=0.913$
$\frac{k_2}{k_1}=2.49$
General rule of thumb
The rate of a reaction will increase by a factor of 2-3 for each 10 k rise in temprature
Closer look at chemical reactions
Does the reaction occur in a single step ? or Does it involve multiple steps ?
Which bonds are broken ?
Which bonds are being formed ?
Does the bond making and bond breaking happen at the same time ?
What energy changes are involved in the reactions ?
$\qquad\qquad\downarrow$
Reaction mechanism
It is the molecular description of how the reactants are being converted to products
It is a proposed way of reactants going to products
Experiments
Vary concentrations
Vary temperature
$CH_3CH_2Br(aq)+O^-H(aq)\rarr CH_3CH_2OH(aq)+Br^-(aq)……(1)$
It is a single step reaction
Types of reactions
Elementary reactions
Complex reaction
An elementary reaction is a single step reaction with a single transition state and no intermediates
Single step reactions are also known as elementary reactions
Balanced chemical equation conveys the one-step nature of the process
$r=k[CH_3CH_2Br][OH^-]$
It gives molecularity of a reaction
$CH_3CH_2Br(aq)+O^-H(ag)\rarr CH_3CH_2OH(aq)+Br^-(aq)……(1)$
$C_6H_5CH_2Cl(aq)+OH^-(aq)\rarr C_6H_5CH_2OH(aq)+Cl^-(aq)……(2)$
$C_6H_5CH_2Cl\rarr C_6H_5CH_2^+ + Cl^-……(3)$
$C_6H_5CH_2^+ + OH^- \rarr C_6H_5CH_2OH……(4)$
A reacton which proceeds by more than one step is known as a composite reaction or a complex reaction
For a composite reaction, the number and nature of the steps in the mechanism cannot be deduced from stoichiometry
Formed in one step and is being used up in another
Hence, the corresponding reaction mechanism for these reactions is known as composite reaction mechanism or complex reaction mechanism
Reaction coordinate
Vertical axis
Potential energy
Contributions from the energy shared in chemical bonds as well as that associated with interactions between each species and the surroundings
Horizontal axis
Path the system takes
Summaries the collection of motions, such as changes in interanomic distance and bond angles that are directly involved in the promotion of products
Thank you