In which reaction will an increase in the volume of the container favor the formation of products?

Options

A. `C(s)+H_(2)O(g) hArr CO(g)+H_(2)(g)`
B. `H_(2)O(g)+I_(2)(g)hArr 2HI(g)`
C. `4NH_(3)(g)+5O_(2)(g)hArr 4NO(g)+6H_(2)O(l)`
D. `3O_(2)(g) hArr 2O_(3)(g)`

Explanation

To determine in which reaction an increase in the volume of the container will favor the formation of products, we need to analyze the change in the number of gaseous moles (ΔN) for each reaction. The principle we will use is that if the number of gaseous moles increases (ΔN > 0), then an increase in volume will favor the formation of products.

### Step-by-Step Solution:

1. **Identify the Reactions:**
We have four reactions to analyze. We will denote them as Reaction A, Reaction B, Reaction C, and Reaction D.

2. **Calculate ΔN for Each Reaction:**
- **Reaction A:**
- Reactants: Carbon (solid) + Water (gas) → Products: 2 Gaseous Products
- Moles of Reactants: 0 (for solid carbon) + 1 (for gaseous water) = 1
- Moles of Products: 2 (gaseous products)
- ΔN = Moles of Products - Moles of Reactants = 2 - 1 = 1 (ΔN > 0)

- **Reaction B:**
- Reactants: Water (gas) + Iodine (gas) → Products: HI (gas)
- Moles of Reactants: 1 (water) + 1 (iodine) = 2
- Moles of Products: 2 (HI)
- ΔN = 2 - 2 = 0 (ΔN = 0)

- **Reaction C:**
- Reactants: 4 Gaseous Reactants → Products: Water (liquid) + 5 Gaseous Products
- Moles of Reactants: 4
- Moles of Products: 5 (gaseous products)
- ΔN = 5 - 4 = 1 (ΔN > 0)

- **Reaction D:**
- Reactants: 3 Gaseous Reactants → Products: 2 Gaseous Products
- Moles of Reactants: 3
- Moles of Products: 2
- ΔN = 2 - 3 = -1 (ΔN < 0)

3. **Determine Which Reaction Favors Products with Increased Volume:**
- From the calculations:
- Reaction A: ΔN = 1 (favors products)
- Reaction B: ΔN = 0 (no effect)
- Reaction C: ΔN = 1 (favors products)
- Reaction D: ΔN = -1 (favors reactants)

4. **Conclusion:**
An increase in volume will favor the formation of products in Reaction A and Reaction C since both have ΔN > 0. However, since the question asks for a single reaction, we can conclude that **Reaction A** is a clear example where an increase in volume favors product formation.

### Final Answer:
**Reaction A** will favor the formation of products with an increase in the volume of the container.