Step 1: Understand redox reactions
A redox reaction involves both reduction and oxidation processes. Oxidation is the loss of electrons, and reduction is the gain of electrons.
Step 2: Identify the oxidation and reduction in each option
Let's analyze each option:
- In option (1), \( \text{H}_2 \) and \( \text{Cl}_2 \) are reacting. Here, hydrogen is oxidized (loses electrons) and chlorine is reduced (gains electrons). This is a redox reaction.
- In option (2), \( \text{NaCl} + \text{AgNO}_3 \) forms \( \text{NaNO}_3 + \text{AgCl} \), which is a double displacement reaction but not a redox reaction.
- In option (3), this is the combustion of ethanol, which is a redox reaction.
- In option (4), the combination of hydrogen and oxygen to form water is also a redox reaction.
Answer: Therefore, option (1) represents a redox reaction, where hydrogen is oxidized and chlorine is reduced. So, the correct answer is option (1).