For the reaction,
`C+O_(2) rarr CO_(2),DeltaH=-393 J`
`2Zn + O_(2) rarr 2ZnO, DeltaH=-412 J`

Options

A. Carbon can reduce ZnO to Zn
B. Oxidation of carbon is not feasible
C. Oxidation of Zn is not feasible
D. Zn liberates more heat than carbon during oxidation

Explanation

To solve the question regarding the reactions of carbon and zinc with oxygen, we will analyze the given reactions and their enthalpy changes step by step.

### Given Reactions:
1. **Carbon Reaction:**
\[ C + O_2 \rightarrow CO_2, \quad \Delta H = -393 \, \text{J} \]

2. **Zinc Reaction:**
\[ 2Zn + O_2 \rightarrow 2ZnO, \quad \Delta H = -412 \, \text{J} \]

### Step 1: Understanding the Reactions
- The first reaction shows that carbon reacts with oxygen to produce carbon dioxide, releasing 393 J of energy.
- The second reaction shows that zinc reacts with oxygen to produce zinc oxide, releasing 412 J of energy.

### Step 2: Analyzing Reduction and Oxidation
- We need to determine if carbon can reduce zinc oxide (ZnO) to zinc (Zn). This involves reversing the reaction of zinc oxide formation.

### Step 3: Reverse the Zinc Reaction
- The reverse of the zinc oxide formation can be written as:
\[ 2ZnO \rightarrow 2Zn + O_2 \]
- The enthalpy change for the reverse reaction will be the positive value of the original reaction:
\[ \Delta H = +412 \, \text{J} \]

### Step 4: Combine the Reactions
- Now, we can combine the reactions:
1. Carbon reacts with oxygen to form carbon dioxide:
\[ C + O_2 \rightarrow CO_2 \quad (\Delta H = -393 \, \text{J}) \]
2. Zinc oxide decomposes to zinc and oxygen:
\[ 2ZnO \rightarrow 2Zn + O_2 \quad (\Delta H = +412 \, \text{J}) \]

- When we add these two reactions, the oxygen from the first reaction will cancel with the oxygen from the second reaction:
\[ C + 2ZnO \rightarrow CO_2 + 2Zn \]

### Step 5: Calculate Overall Enthalpy Change
- The overall enthalpy change for the combined reaction is:
\[ \Delta H = (-393 \, \text{J}) + (+412 \, \text{J}) = +19 \, \text{J} \]

### Step 6: Conclusion
- Since the overall reaction has a positive enthalpy change, it indicates that carbon can indeed reduce zinc oxide to zinc. Therefore, carbon acts as a reducing agent and zinc oxide acts as an oxidizing agent.

### Final Options Analysis
1. **Carbon can reduce zinc oxide to zinc:** **Correct**
2. **Oxidation of carbon is not feasible:** **Incorrect**
3. **Oxidation of zinc is not feasible:** **Incorrect**
4. **Zinc liberates more heat than carbon during oxidation:** **Correct**

### Summary of Correct Options:
- The correct options are 1 and 4.