Considerable research on emission control of coal combustion with popped borax and salted pumice has been conducted in this study. However, the packed bed column adsorption results are widely dispersed because of the complex chemistry of coal. Time-related hazardous emission, stack gas coal-mixing with slurries washing in microwave-heated packed bed column sorption units and cycling sorption modeling assumed basically first-order kinetic equations, or less sensitive for microwave heating rate. The other reactivity distributed on activation model was dependent on the microwave heating rate. The more advanced models for microwave radiation progressed sorption need three and four constants, respectively, which basically depend on the coal properties but also cover, to some extent, the effect of porosity and gas to salt mass transfer phenomena. That was the reactivity reason for the different conditions of sorbents values on the activation energy and pre-exponential factor. The same situation exists in the other sorbent case of coal-lead and CS, COS gas. The sorption reaction rate of popped borax and bed effected of the salt reaction of pumice and the specific surface area of pumice, which changed the sorption reaction cycle with the development of internal pores type