The conductivity and resistance of four different conductivity cells (P, Q, R, and S) filled with the same electrolyte solution are given in the table below. Assuming the area of cross-section of the electrodes is identical for all the cells, which cell has the maximum distance between its electrodes? Cell Conductivity ( ) / S cm ⁻¹ Resistance ( R ) / P 0.05 20 Q 0.01 150 R 0.02 90 S 0.04 10

Step-by-step solution

The cell constant ( G^* ) of a conductivity cell is given by the relation: G^* = l a = R Since the area of cross-section ( a ) is constant for all cells, the distance between the electrodes ( l ) is directly proportional to the product of conductivity ( ) and resistance ( R ). Calculating R for each cell: For Cell P: G^* = 0.05 20 = 1.0 cm ⁻¹ For Cell Q: G^* = 0.01 150 = 1.5 cm ⁻¹ For Cell R: G^* = 0.02 90 = 1.8 cm ⁻¹ For Cell S: G^* = 0.04 10 = 0.4 cm ⁻¹ Cell R has the maximum value of the cell constant, which mea