The units of conductivity of the solution are

Options

A. `ohm^(-1)`
B. `ohms`
C. `ohm^(-1)cm^(-1)`
D. `ohm^(-1)eq^(-1)`

Explanation

To find the units of conductivity of a solution, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Conductivity**:
- Conductivity (k), also known as specific conductance, is a measure of a solution's ability to conduct electricity.

2. **Expression for Conductivity**:
- The conductivity can be expressed as:
\[ k = \text{Conductance} \times \text{Cell Constant} \]
- Here, conductance (G) is the reciprocal of resistance (R):
\[ G = \frac{1}{R} \]

3. **Units of Resistance**:
- The unit of resistance (R) is ohms (Ω).

4. **Cell Constant**:
- The cell constant (C) is defined as the ratio of the length (l) of the conductor to its cross-sectional area (A):
\[ C = \frac{l}{A} \]
- The unit of length (l) is centimeters (cm), and the unit of area (A) is square centimeters (cm²). Thus, the unit of cell constant is:
\[ \text{Cell Constant} = \frac{\text{cm}}{\text{cm}^2} = \text{cm}^{-1} \]

5. **Combining Units**:
- Now, substituting the units into the expression for conductivity:
\[ k = G \times C = \left(\frac{1}{R}\right) \times \left(\frac{l}{A}\right) \]
- Therefore, the units of conductivity become:
\[ k = \frac{1}{\Omega} \times \text{cm}^{-1} \]
- This can be rewritten as:
\[ k = \Omega^{-1} \cdot \text{cm}^{-1} \]

6. **Final Units of Conductivity**:
- Thus, the units of conductivity of the solution are:
\[ \text{S/cm} \quad (\text{Siemens per centimeter}) \]

### Conclusion:
The units of conductivity of the solution are S/cm (Siemens per centimeter).