The sum of the volumes of all gases obtained during the electrolysis of a solution containing 0.025

The sum of the volumes of all gases obtained during the electrolysis of a solution containing 0.025 mol of potassium chloride.

Given:
n (KCl) = 0.025 mol

To find:
V (gases) -?

Decision:
1) Write the reaction equation:
2KCl + 2H2O = (electric current) => H2 ↑ + Cl2 ↑ + 2KOH;
2) Determine the amount of substance H2:
n (H2) = n (KCl) / 2 = 0.025 / 2 = 0.0125 mol;
3) Calculate the volume H2:
V (H2) = n (H2) * Vm = 0.0125 * 22.4 = 0.28 l;
4) Determine the amount of substance Cl2:
n (Cl2) = n (KCl) / 2 = 0.025 / 2 = 0.0125 mol;
5) Calculate the volume of Cl2:
V (Cl2) = n (Cl2) * Vm = 0.0125 * 22.4 = 0.28 l;
6) Calculate the volume of gases:
V (gases) = V (H2) + V (Cl2) = 0.28 + 0.28 = 0.56 L.

Answer: The volume of gases is 0.56 liters.