Rates and reaction profiles

A catalyst is a substance that speeds up the rate of reaction without being consumed by the reaction.  

One way in which catalysts increase the rate of reaction is by forming a complex with one reactant.  This complex reacts by a lower activation energy pathway than the reactant itself.

Thus if a reaction is viewed as a stepwise process, a catalyst is a reactant in the first step and a product in the second step as shown below.
 
Step 1:  CH3CH2OH + H+  CH3CH2OH2+
Step 2:  CH3CH2OH2+ CH2=CH2 + H2O + H+

Overall:  CH3CH2OH CH2=CH2 + H2O

Neither H+ not CH3CH2OH2+ appear in the overall equation resulting from addition Step 1 and Step 2
Think about: Why is CH3CH2OH2+ NOT a catalyst?