Inversion of cane sugar is a type of pseudo-first-order reaction that occurs in the presence of excess water. This reaction involves the hydrolysis of sucrose (cane sugar) into its constituent monosaccharides, glucose and fructose, when treated with an acid or enzyme. The reaction can be represented as:
C12H22O11 + H2O → C6H12O6 + C6H12O6
Although the reaction is technically a second-order reaction (due to the involvement of both sucrose and water), the presence of excess water makes its concentration effectively constant throughout the reaction. As a result, the reaction behaves like a pseudo-first-order reaction, where the rate is dependent only on the concentration of sucrose.
In a pseudo-first-order reaction, the rate law is simplified to the form: Rate = k[A], where [A] is the concentration of the reactant (sucrose) and k is the rate constant. This simplification allows the reaction to be treated as if it were first-order with respect to sucrose, even though the actual reaction order is higher.
This concept is commonly observed in many reactions where one reactant is present in excess, making it effectively constant during the course of the reaction.