Which of the following equations is correct?

Options

A. Cond. = sp. cond. `xx` cell constant
B. Eq. cond. = sp. cond. `xx` cell constant
C. Cond. = eq. cond. `xx` cell constant
D. Cell constant = sp. cond./cond.

Answer

To solve the question regarding which equation is correct, we need to analyze the relationship between conductance, specific conductance, and the cell constant.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Conductance (G)**: It is the ability of a solution to conduct electricity and is measured in siemens (S).
- **Specific Conductance (κ)**: It is the conductance of a solution per unit length and area, measured in siemens per meter (S/m).
- **Cell Constant (k)**: It is defined as the ratio of the length of the electrodes (L) to the area of the electrodes (A). It is expressed as \( k = \frac{L}{A} \).

2. **Relate Conductance and Specific Conductance**:
- The relationship between specific conductance (κ), conductance (G), and the cell constant (k) can be expressed as:
\[ κ = k \cdot G \]
- Here, \( κ \) is the specific conductance, \( k \) is the cell constant, and \( G \) is the conductance.

3. **Rearranging the Equation**:
- From the equation \( κ = k \cdot G \), we can rearrange it to find conductance:
\[ G = \frac{κ}{k} \]

4. **Identifying the Correct Equation**:
- Based on the relationships derived, the correct equation that represents the relationship between specific conductance, conductance, and cell constant is:
\[ κ = k \cdot G \]
- Therefore, if the options provided include this equation, it would be the correct choice.

5. **Conclusion**:
- After analyzing the definitions and relationships, we conclude that the fourth option, which states \( κ = k \cdot G \), is the correct equation.