Problem 70a

Given information

half-cells,

Volume of each half-cell is , and the concentrations of Ag⁺ in the half-cells are   and

Step-by-step explanation

The number of moles of Ag⁺ at cathode is calculated by:

Where,

• is the concentration of Ag⁺ at cathode.
•  is the volume of half cell.

Putting the values in the above-mentioned equation

Similarly, The number of moles of Ag⁺ at anode is calculated by:

Let the change in the number of moles of Ag⁺ at anode and cathode be  

Therefore the final no. of moles of Ag⁺ at anode is

and the final no. of moles of Ag⁺ at cathode is

The number of moles of  Ag⁺ at anode and Ag⁺ at cathode becomes equal when the battery dies.