Concept:
According to the Collision Theory, for a chemical reaction to occur, reactant molecules must collide with a certain minimum energy called Threshold Energy.
Activation Energy ($E_a$): The difference between the threshold energy and the average kinetic energy of the reactant molecules.
Catalysis: A process where a substance (catalyst) alters the reaction speed without being consumed.
Step 1: Understanding Activation Energy.\
Reactants do not automatically turn into products upon contact. They must overcome an energy barrier.
Mathematically:
$$ \textActivation Energy (E_a) = \textThreshold Energy - \textAverage energy of reactants $$
Step 2: Effect of Catalyst.\
A catalyst increases the rate of a chemical reaction by participating in the reaction mechanism to provide a new "shortcut." This new pathway has a lower activation energy ($E_a'$) than the uncatalyzed pathway.
Because the energy barrier is lower, a larger fraction of reactant molecules possess enough energy to cross the barrier at a given temperature, thereby increasing the reaction rate. It is important to note that a catalyst does \textitnot change the enthalpy ($\Delta H$) or the equilibrium constant of the reaction.