In this section, we will learn about the pseudo first order of reaction and their rate equations.
Pseudo first order reaction
These are the reactions that appear to be second order in nature but are approximated as a first-order of reaction on close analysis. For example, a second-order of reaction is given by the equation,
A + B —-> C + D
This reaction is dependent upon the concentrations of both A and B but one of the components is present in large excess and thus its concentration hardly changes as the reaction proceeds. So, if component B is in large excess and the concentration of B is very high as compared to that of A, the reaction is considered to be pseudo-first order reaction with respect to A and if component A is in large excess and the concentration of A is very high as compared to that of B, the reaction is considered to be pseudo first order with respect to B. We can understand this with the help of the following example.
Consider the hydrolysis of ethyl acetate, during the hydrolysis, the concentration of ethyl acetate is 0.02 mol/L whereas the amount of water is 20 mol/L as the process of hydrolysis involves a large amount of water. Let us say, the process of hydrolysis attains completion in time t. The reaction can be represented as
CH3COOC2H5 + H2O —–> CH3COOH + C2H5OH
(ethyl acetate) (Water) (Acetic acid) (ethyl alcohol)
For the above-mentioned reaction, the rate equation can be given as,
Rate = k [CH3COOC2H5] [H2O]
Here we see that the concentration of water is very high and thus does not change much during the course of the reaction. Thus the rate of the reaction can be said to be independent of the change in the concentration of H2O. Putting the term for change of concentration of water in the above reaction to be zero we can write the effective rate equation as,
Rate = k [CH3COOC2H5]
Here, the term kt takes into account the value of the constant concentration of water.
where K = K’ [H2O]
We see that the reaction behaves as a first-order reaction. Such reactions are termed as pseudo-first order reactions.
Another example of pseudo first-order reaction is the inversion of cane sugar, given by the following reaction,
C12H22O11 + H2O —–> C6H12O6 + C6H12O6 (Cane sugar) (Water) (Glucose) (Fructose)
The rate equation can be given as,
Rate = k [C12H22O11]
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