Consider the following reactions at `1000^(@)C`
(I) `Zn(s)+1//2O_(2)(g)overset(Delta)to ZnO(g), Delta G^(@)= -360 " kJ mol"^(-1)`
(II) `C(s)+1//2O_(2)(g) overset(Delta)to CO(g), Delta G^(@) = -460 " kJ mol"^(-1)`
and choose the correct statement at `1000^(@)C`

Options

A. ZnO is more stable than CO
B. ZnO can be reduced to Zn by C
C. ZnO and CO are formed at equal rate
D. ZnO can not be reduced to Zn by C

Explanation

To solve the problem, we need to analyze the given reactions and their Gibbs free energy changes (ΔG°) at 1000°C.

### Step-by-Step Solution:

1. **Identify the Reactions and Their ΔG° Values:**
- Reaction (I):
\[ \text{Zn}(s) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{ZnO}(g), \quad \Delta G° = -360 \text{ kJ mol}^{-1} \]
- Reaction (II):
\[ \text{C}(s) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{CO}(g), \quad \Delta G° = -460 \text{ kJ mol}^{-1} \]

2. **Determine the Spontaneity of Each Reaction:**
- Both reactions have negative ΔG° values, indicating that they are spontaneous at 1000°C.

3. **Consider the Reverse Reaction of Reaction (I):**
- The reverse of Reaction (I) is:
\[ \text{ZnO}(g) \rightarrow \text{Zn}(s) + \frac{1}{2} \text{O}_2(g) \]
- The ΔG° for the reverse reaction can be calculated as:
\[ \Delta G° = +360 \text{ kJ mol}^{-1} \]

4. **Combine the Reactions:**
- We can combine the two reactions to see if zinc oxide can be reduced to zinc by carbon:
- Start with Reaction (I) and reverse it:
\[ \text{ZnO}(g) \rightarrow \text{Zn}(s) + \frac{1}{2} \text{O}_2(g) \quad (\Delta G° = +360 \text{ kJ mol}^{-1}) \]
- Add Reaction (II):
\[ \text{C}(s) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{CO}(g) \quad (\Delta G° = -460 \text{ kJ mol}^{-1}) \]
- The overall reaction becomes:
\[ \text{ZnO}(g) + \text{C}(s) \rightarrow \text{Zn}(s) + \text{CO}(g) \]
- To find the ΔG° for this combined reaction:
\[ \Delta G° = +360 \text{ kJ mol}^{-1} - 460 \text{ kJ mol}^{-1} = -100 \text{ kJ mol}^{-1} \]
- Since ΔG° is negative, this combined reaction is spontaneous.

5. **Conclusion:**
- From the analysis, we conclude that zinc oxide can indeed be reduced to zinc by carbon.

### Final Answer:
The correct statement at 1000°C is:
- **Zinc Oxide can be reduced to Zinc by Carbon.**