This article presents the dynamic model of a commercial dry electrolytic cell that produces oxyhydrogen with a maximum capacity of 2.25 L / min. The equations were raised taking into account the laws of fundamental thermodynamics, empirical current-voltage relations. A thermal model has also been developed by means of the energy balance in the electrolyzer that takes into account the energy provided by the electrolyte (potassium hydroxide or sodium bicarbonate) contrary to the models found in the electrolyser literature. The experimental data corroborated that, the best electrolyte for alkaline electrolytic cells is potassium hydroxide because a flow rate of 0.39 ml / s is produced compared with 20 g of sodium bicarbonate (0.29 ml / s). On the other hand, the temperature with potassium hydroxide, shows a better trend, and the times of establishment of the experimental curve coincide, and the simulated one in 650 <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$s$</tex> .