In the determination of molar conductivities, it is convenient to define the cell constant, K, as K = l/A, where l is the separation between the electrodes in the conductivity cell, and A is the area of the electrodes.

a. A standard solution of KCl (conductivity or κ = 1.06296 × 10^–6 S m^–1 at 298 K) is employed to standardize the cell, and a resistance of 4.2156 Ω is measured. What is the cell constant?

b. The same cell is filled with a solution of HCl and a resistance of 1.0326 Ω is measured. What is the conductivity of the HCl solution?