Kolbe Electrolysis:
Kolbe electrolysis is a process in which carboxylic acids are electrolyzed to produce carbon dioxide gas and an alkane. It is a type of electrolysis that occurs at the anode in an aqueous solution.

Electrolysis of Potassium Maleate:
Potassium maleate is an organic compound with the formula K2C4H2O4. When it undergoes Kolbe electrolysis, it produces carbon dioxide gas (CO2) and an alkane.

Half-Reactions:
1. At the anode (positive electrode): 2C4H2O4(aq) → 4CO2(g) + 2H2O(l) + 4e^-
2. At the cathode (negative electrode): 4H2O(l) + 4e^- → 2H2(g) + 4OH^-(aq)

Total Number of Moles of Gaseous Products:
To determine the total number of moles of gaseous products at the anode and cathode, we need to analyze the balanced half-reactions.

1. At the anode:
- For every mole of potassium maleate (C4H2O4), 4 moles of carbon dioxide gas (CO2) are produced.
- Therefore, for one mole of potassium maleate, 4 moles of CO2 are produced at the anode.

2. At the cathode:
- For every 4 moles of water (H2O), 2 moles of hydrogen gas (H2) are produced.
- Therefore, for one mole of potassium maleate, 2 moles of H2 are produced at the cathode.

Summary:
In Kolbe electrolysis of one mole of potassium maleate:
- 4 moles of carbon dioxide gas (CO2) are produced at the anode.
- 2 moles of hydrogen gas (H2) are produced at the cathode.