Following reaction is occuring in a lime kiln: `CaCO_(3)(s) hArr CaO(s) +CO_(2)(g)`. Which of the following will result in increase in the production of lime?

Options

A. Adding more `CaCO_(3)`
B. Removing CaO from time to time
C. Removing `CO_(2)` from time to time
D. Yield of CaO can never increase

Answer

To determine which actions will increase the production of lime (CaO) in the reaction:

\[ \text{CaCO}_3(s) \rightleftharpoons \text{CaO}(s) + \text{CO}_2(g) \]

we will apply Le Chatelier's principle, which states that if an external change is applied to a system at equilibrium, the system will adjust itself to counteract that change and restore a new equilibrium.

### Step-by-Step Solution:

1. **Identify the Reaction**: The reaction we are considering is the thermal decomposition of calcium carbonate (CaCO₃) into calcium oxide (CaO) and carbon dioxide (CO₂).

2. **Understand the Equilibrium**: This reaction is at equilibrium, meaning that the rates of the forward and reverse reactions are equal.

3. **Apply Le Chatelier's Principle**:
- **Increasing Reactants**: If we increase the concentration of calcium carbonate (CaCO₃), the equilibrium will shift to the right (forward direction) to produce more products (CaO and CO₂). This will increase the production of lime (CaO).
- **Removing Products**: If we remove calcium oxide (CaO) from the system, the equilibrium will again shift to the right to replace the removed CaO. This will also increase the production of lime.
- **Removing CO₂**: If we remove carbon dioxide (CO₂) from the system, the equilibrium will shift to the right to produce more CO₂, which will also increase the production of lime.

4. **Evaluate the Options**:
- **Option 1**: Increasing the concentration of CaCO₃ will increase the production of lime. **(Correct)**
- **Option 2**: Removing CaO will increase the production of lime. **(Correct)**
- **Option 3**: Removing CO₂ will increase the production of lime. **(Correct)**
- **Option 4**: The statement that the yield of lime can never increase is incorrect, as we have established that certain actions can indeed increase the yield. **(Incorrect)**

### Conclusion:
The actions that will result in an increase in the production of lime are:
- Increasing the concentration of CaCO₃.
- Removing CaO from the system.
- Removing CO₂ from the system.

Thus, the correct options are 1, 2, and 3.