Abstract: Removal NO.sub.x and SO.sub.x from the flue gas utilizing a transport line adsorber through which sorbent is transported by pressurized flue gas to cause the sorbent to absorb NO.sub.x and SO.sub.x from the flue gas while the flue gas is transporting the sorbent particles through the transport line adsorber. A plurality of interconnected cyclones may be utilized to contact sorbent saturated with NO.sub.x and SO.sub.x removed from the flue gas with a heated gas to heat the sorbent and remove the NO.sub.x from the sorbent and separate the sorbent and the heated gas to produce an off stream of heated gas carrying the removed NO.sub.x away; the heated gas and gravity combine to pass the sorbent through the plurality of cyclones and which cyclones are positioned vertically and successively downwardly with respect to each other. A plurality of interconnected cyclones is also utilized to contact heated sorbent having the NO.sub.x and SO.sub.