The units of cell constant are

Options

A. `ohm^(-1)`
B. `ohm-cm`
C. `cm^(-1)`
D. `ohm^(-1) cm^(2) eq^(-1)`

Explanation

To find the units of the cell constant, we can follow these steps:

### Step 1: Understand the Definition of Cell Constant
The cell constant (G*) is defined as the ratio of the distance between the electrodes (L) to the area of the cross-section of the electrodes (A). Mathematically, it can be expressed as:
\[ G^* = \frac{L}{A} \]

### Step 2: Identify the Units of Length and Area
- The unit of length (L) is typically measured in centimeters (cm) or meters (m).
- The unit of area (A) is measured in square centimeters (cm²) or square meters (m²).

### Step 3: Substitute the Units into the Cell Constant Formula
Using the units for length and area, we can substitute them into the formula for the cell constant:
\[ G^* = \frac{L \text{ (cm)}}{A \text{ (cm}^2\text{)}} \]

### Step 4: Simplify the Units
When we substitute the units into the equation, we have:
\[ G^* = \frac{\text{cm}}{\text{cm}^2} \]
This simplifies to:
\[ G^* = \frac{1}{\text{cm}} \]
or in SI units:
\[ G^* = \frac{1}{\text{m}} \]

### Step 5: Conclusion
Thus, the units of the cell constant are:
- In CGS (centimeter-gram-second) units: \( \text{cm}^{-1} \)
- In SI (International System of Units): \( \text{m}^{-1} \)

### Final Answer
The units of the cell constant are \( \text{cm}^{-1} \) or \( \text{m}^{-1} \).

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