Calculate the cell constant if the specific conductance of a Solution 0.2 I `"ohm"^(-1)cm^(-1)` and its conductivity is 0.04 `"ohm"^(-1)`.

Options

A. `1 cm^(-1)`
B. `0 cm^(-1)`
C. `5 cm^(-1)`
D. `0.2 cm^(-1)`

Answer

To calculate the cell constant given the specific conductance and conductivity, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Specific conductance (k) = 0.2 ohm^(-1) cm^(-1)
- Conductivity (c) = 0.04 ohm^(-1)

2. **Understand the Relationship:**
- The relationship between specific conductance (k), conductivity (c), and cell constant (G) is given by the formula:
\[ k = c \times G \]
- Rearranging this formula to find the cell constant (G):
\[ G = \frac{k}{c} \]

3. **Substitute the Values:**
- Substitute the values of specific conductance and conductivity into the formula:
\[ G = \frac{0.2 \, \text{ohm}^{-1} \, \text{cm}^{-1}}{0.04 \, \text{ohm}^{-1}} \]

4. **Perform the Calculation:**
- Calculate the cell constant:
\[ G = \frac{0.2}{0.04} \, \text{cm}^{-1} \]
- Simplifying the fraction:
\[ G = 5 \, \text{cm}^{-1} \]

5. **Final Result:**
- The cell constant is:
\[ G = 5 \, \text{cm}^{-1} \]