Step 1: Understanding zero-order reactions.
A zero-order reaction has a rate that is independent of the concentration of reactants. The decomposition of N\(_2\)O in the presence of a catalyst is a typical example of a zero-order reaction, where the rate is constant and independent of the concentration of the reactant. Step 2: Analyzing the options. (A) Decomposition of N\(_2\)O in presence of catalyst: This is correct. This is a zero-order reaction where the rate is constant and does not depend on the concentration of N\(_2\)O. (B) Inversion of C\(_{12}\)H\(_{22}\)O\(_{11}\): This is incorrect. The inversion of sucrose is a first-order reaction. (C) Hydrolysis of CH\(_3\)COOCH\(_3\): This is incorrect. Hydrolysis of esters is typically a second-order reaction. (D) Decomposition of N\(_2\)O\(_5\): This is incorrect. The decomposition of N\(_2\)O\(_5\) is a first-order reaction. Step 3: Conclusion.
The correct answer is (A) Decomposition of N\(_2\)O in presence of catalyst.