In this study a deactivation kinetic model was used to predict the breakthrough curve in a noncatalytic gas-solid reaction. The iron-rich soil was tested to react with H2S under a reducing atmosphere at high temperature. The results indicated that the deactivation kinetic model can be well fitted to the breakthrough curve in the experimental range. The breakthrough curves were accurately predicted by the model, and provide useful information for the time to reload the solid materials in the reaction. The activation energy of the reaction of iron-rich soil and H2S was experimentally calculated to be about 34 kJ/mol and 131 kJ/mol, respectively for the deactivation kinetic model I (m = 0, n = 1) and model II (m = 1, n = 1). Both of the deactivation kinetic models can fit the experimental results. The order of H2S in the deactivation model probably ranged from zero to one.