Step 1: Understanding the Question:
We are given the balanced chemical equation for the thermal decomposition of nitrogen dioxide gas. We need to state its experimentally determined order of reaction.
Step 2: Detailed Explanation:
The order of a chemical reaction is a strictly experimental quantity; it cannot be reliably predicted just by looking at the stoichiometric coefficients of a balanced complex chemical equation.
However, the thermal decomposition of nitrogen dioxide is a highly famous, classical example of a second-order reaction taught in standard chemical kinetics curriculum.
The experimentally determined rate law for this specific decomposition process is:
$\text{Rate} = k [\text{NO}_2]^2$
Because the concentration term $[\text{NO}_2]$ is raised to the power of 2, the overall order of the reaction is exactly 2.
(Note: In this specific rare case, the order perfectly matches the stoichiometric coefficient of the reactant, meaning it could potentially proceed as a simple elementary bimolecular collision step).
Step 3: Final Answer:
The order of the reaction is 2, matching option (c).