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The inversion of cane sugar is _________ (first/second) order reaction though its molecularity is $2$.

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Answer
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Hint: In chemistry, molecularity is defined as the number of molecules that come together to react in a simple (one-step) reaction and is equal to the sum of the stoichiometric coefficients of the reactants in the simple reaction with effective collision (enough energy) and correct orientation.

Complete answer:
The order and molecularity of a complex reaction are the same, and the order in chemical reactions is proportional to the stoichiometric coefficient of each reactant. The molecularity is two in this reaction.
\[{H_2} + {I_2} \to 2HI\]
The chemical transformation of saccharose to glucose and fructose is known as sugar inversion. Acids and high temperatures help this process along.
Sugar inversion occurs when saccharose is added to a beverage, altering its composition. Since many soft drinks are sweetened with beet or cane sugar, this chemical reaction must be closely monitored as the beverage composition changes as the sugar inversion progresses. Measuring the degree of sugar inversion is important for production and quality control before, during, and after the manufacturing process, and is especially important for soft drink producers and bottlers.

Both sucrose and water are involved in this hydrolysis reaction. As a result, the reaction is bimolecular. The concentration of water does not appear in the rate law expression since it is present in large quantities
As a result, rate law expression is given by –
Rate = $k[Sucrose]$
Sugar is not broken down into glucose and fructose in a first-order reaction. Inversion of cane sugar is the process of sugar inversion from cane sugar to glucose and fructose. By increasing the concentration of one of the reactions, it becomes one. As a result, cane sugar inversion is a pseudo first order reaction.
The inversion of cane sugar is first order reaction though its molecularity is $2$.

Note:
Just one reactant's concentration determines the outcome of a first-order reaction. As a result, a first-order reaction is also known as a unimolecular reaction. Other reactants may be present, but they will all be zero-order because their concentrations have no effect on the rate.