This study concerns the performance of a hydrogen-air fuel cell with an immobilized alkaline electrolyte. The proper management of water flow within the fuel cell is essential to a successful operation of such systems. In this research, a mathematical model is developed for an alkaline fuel cell that identifies operating conditions resulting in a water balance. The model is one-dimensional and is derived from basic principles of gas-phase transport phenomena. With the aid of this model, one may determine an optimal set of values for current density, gas-stream flow rates and humidities, temperature, and pressure which assure the cell will not operate with a water deficit or surplus. Furthermore, expressions for the concentration profiles in the gas-diffusion layers can be obtained. Ultimately, this analysis provides an estimate of the limiting current density based on the oxidant transport.