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Predictions of the electrical energy cost for NaOH production are determined as a function of the independent operating variables and diaphragm characterizing properties. The predictions are based on data fro a statistically designed experiment, a simple model of a diaphragm-type electrolyzer, a simple model of the cell voltage losses, and parameter estimation techniques. The data were obtained over a sufficiently large range of operating conditions so that the resulting design equation may be industrially useful. The simple model of the diaphragm is based on the mass transport of the hydroxyl ion, a linear potential gradient, and is presented in terms of measurable diaphragm properties. These properties are the thickness of the diaphragm (t) and a resistivity ratio, p/p /SUB o/ , where p is the resistivity of the diaphragm filled with electrolyte and p /SUB o/ is the resistivity of the electrolyte (this ratio may com to be known as the MacMullin number, N /SUB M/ ). It is shown that, according to the model of the cell, the caustic yield or current efficiency of the diaphragm cell depends on the product of N /SUB M/ and t and not on each separately. The simple model of the cell voltagemore » considers the diaphragm voltage drop, anode and cathode kinetics, and the bubble-filled brine-gap voltage drop. Parameter estimation techniques are used to determine the best values of the diffusion coefficient, average specific conductivity, exchange current densities, and transfer coefficients; these parameters and the simple models provide a design equation for the electrical energy cost of NaOH production using a diaphragm cell. The design equation is used to predict a minimum electrical-energy cost at a particular N /SUB M/ t.« less

Using Parameter Estimation Techniques with a Simple Model of a Diaphragm‐Type Electrolyzer to Predict the Electrical Energy Cost for NaOH Production