(a) State the relationship amongst cell constant of a cell , resistance of the solution in the cell and conductivity of the solution . How is molar conductivity of solute related to conductivity of its solution ?
(b) A voltanic cell is set up at `25^(@)C` with the following half-cells :
`Al|Al^(3+) (0.001M)` and `Ni|Ni^(2+) (0.50M)`
Calculate the cell voltage [`E_(Ni^(2+)|Ni)^(@) = -0.25V , E_(Al^(3+) |Al)^(@) = -1.66 V`]

Explanation

### Step-by-Step Solution

**(a)**

1. **Understanding the relationship among cell constant, resistance, and conductivity:**
- The cell constant (G) is defined as the ratio of the distance between the electrodes (L) to the area of the electrodes (A). It is expressed as:
\[
G = \frac{L}{A}
...