The relation among conductance (G), specific conductance (K) and cell constant (l/A) is :

Options

A. `G=k(l)/A`
B. `G=k(A)/l`
C. `Gk=l/A`
D. G=kAL

Answer

To find the relation among conductance (G), specific conductance (K), and cell constant (l/A), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Conductance (G)**: It is the ability of a solution to conduct electricity and is defined as the reciprocal of resistance (R).
- **Specific Conductance (K)**: It is the conductance of a solution per unit length and unit area, and is defined as the reciprocal of specific resistance (ρ).
- **Cell Constant (l/A)**: It is defined as the ratio of the length of the conductor (l) to the cross-sectional area (A).

2. **Write the Formula for Resistance**:
- The resistance (R) of a conductor can be expressed as:
\[ R = \rho \frac{l}{A} \]
where ρ is the resistivity (specific resistance), l is the length of the conductor, and A is the cross-sectional area.

3. **Relate Conductance to Resistance**:
- Since conductance (G) is the reciprocal of resistance (R), we can write:
\[ G = \frac{1}{R} \]

4. **Substitute the Expression for Resistance**:
- By substituting the expression for R into the conductance formula, we get:
\[ G = \frac{1}{\rho \frac{l}{A}} = \frac{A}{\rho l} \]

5. **Relate Specific Conductance to Specific Resistance**:
- Specific conductance (K) is defined as:
\[ K = \frac{1}{\rho} \]
Thus, we can rewrite the expression for G in terms of K:
\[ G = K \cdot \frac{A}{l} \]

6. **Final Relation**:
- Rearranging the equation gives us the final relation among conductance (G), specific conductance (K), and cell constant (l/A):
\[ G = K \cdot \frac{A}{l} \]

### Conclusion:
The relation among conductance (G), specific conductance (K), and cell constant (l/A) is:
\[ G = K \cdot \frac{A}{l} \]