Step 1: Understanding the Concept:
In chemical kinetics, reactions that occur in a single step are called elementary reactions.
Reactions that occur in a sequence of elementary steps (a mechanism) to give the final products are called complex reactions.
Step 2: Key Formula or Approach:
The approach is to classify reactions based on their known mechanisms; multi-step mechanisms involving intermediates are complex.
Step 3: Detailed Explanation:
According to standard Chemical Kinetics theory, complex reactions involve multiple intermediate steps or yield mixed side products.
(i) Oxidation of ethane: It passes through a series of intermediate steps (forming alcohols, aldehydes, and acids) before final conversion to \( \text{CO}_2 \) and \( \text{H}_2\text{O} \).
This is a classic complex chain reaction.
(ii) Thermal decomposition of HI on a gold surface: This is a classic example of a zero-order reaction on a solid catalyst surface, often treated as elementary at high concentrations.
(iii) Saponification of methyl acetate: This is a bimolecular second-order elementary reaction in basic kinetics discussions.
(iv) Nitration of phenol: It occurs via electrophilic aromatic substitution, involving intermediate sigma complexes, and yields a mixture of ortho and para products.
This multi-step pathway makes it a typical complex reaction.
(v) Decomposition of \( \text{NH}_3 \) on hot Pt surface: This is another zero-order elementary-like catalytic surface reaction.
Therefore, based on standard textbook classifications, (i) and (iv) represent complex consecutive and parallel reaction mechanisms respectively.
Step 4: Final Answer:
(i) Oxidation of ethane and (iv) Nitration of phenol are complex reactions.