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Differential transformation method (DTM), followed by Laplace transformation, has been used to solve the governing mass balance equations through a packed bed of solid reactants. The principle of this method is briefly introduced and is then applied to the nonlinear mass balance equations. Conversion and dimensionless gas concentration has been achieved and plotted with different values of Dz. Results show that conversion increases with a high rate initially, and the rate of increasing will decrease dramatically in infinity. All obtained results have been compared with the experimental results, which represent the high accuracy of the presented method. DTM is an efficient analytical technique which is used to solve the nonlinear differential equations, governing the problem in the form of series with easily computable terms. doi:10.14456/WJST.2014.62