Abstract Some rare earth phosphate minerals are associated with fluorapatite (FAP) in phosphate ores which make them potential sources of rare earth elements (REEs), to satisfy the increasing demand of REEs, especially for green energy technology and new energy materials. Previous studies have shown the leachability of different elements, which may be categorised as REEs and non-REEs, in different acid solutions with the possibility of selective leaching of non-REEs by phosphoric acid to produce a REE rich leach residue which can be processed separately. This study investigates the dissolution of calcium, phosphate, fluoride and REEs from a rotating disc of a natural FAP mineral sample in perchloric, hydrochloric, nitric, sulphuric and phosphoric acid solutions under various leach conditions including different acid concentrations and temperatures and compares the results with batch leaching of natural FAP mineral and RE-FAP concentrate particles. The dissolution rate of REEs, which occur as minor elements in FAP mineral disc, are lower than that of the major elements: Ca, P and F. Higher dissolution rate of calcium from FAP disc in solutions of HCl, HNO 3 and H 2 SO 4 compared to HClO 4 at high acid concentrations are due to the influence of Cl−, NO 3 − and SO 4 2− ions, caused by association with Ca2+ ions in disc leaching. However, the precipitation of CaSO 4 retards particle leaching in H 2 SO 4. Despite the lower leaching rates of REEs per unit surface area, due to low abundance of REEs on FAP mineral disc surface, the rates in 0.5 mol L−1 acid solutions follow the order H 2 SO 4 , HNO 3 > HCl > HClO 4 > H 3 PO 4 indicating the beneficial effect of ion-association of the type RE(III)-sulfate/nitrate compared to RE(III)-phosphate precipitation. The higher leaching efficiencies of REEs in H 3 PO 4 during first 10 min also decrease with prolonged leaching due to RE(III)-phosphate precipitation. The leaching efficiencies of Ca, Sr, Fe, Al and Mg are in the range 50–100% in 3.25 mol L−1 HCl, HNO 3 , HClO 4 and H 3 PO 4 , compared to REEs, Th and U which vary in the range 20–80%, depending upon the formation of complex species or precipitation. A comparison between elemental composition of natural FAP mineral and a RE-FAP concentrate and their similarities in leaching behaviour in different acids is also presented highlighting the exceptional behaviour of phosphoric acid to selectively leach majority of non-REEs leaving REEs and silica in the leach residue. The kinetic models are used to propose mechanisms which are used to show that the dissolution reaction of calcium is mainly controlled by a chemical phenomenon in strong acids and phosphoric acid at the temperature range 25–50 °C. The experimental reaction orders with respect to H+ concentration in HCl, HNO 3 , HClO 4 , H 2 SO 4 and H 3 PO 4 in the range 0.46–0.93 for the dissolution reaction of calcium and/or phosphate are explained on the basis of stoichiometric dissolution and the influence of ion-association of anions with H+ and Ca2+. Highlights • Rotating mineral disc studies provide kinetic data comparable with particle leaching. • High acid concentrations facilitate FAP leaching by protonation of anions in Ca 5 (PO 4) 3 F. • Association of NO 3 −, Cl−, SO 4 2− and HPO 4 2− with major/minor cations also facilitate FAP leaching. • Leaching in HClO 4 is influenced by H 3 PO 4 and HF formed from FAP. • Slow leaching/precipitation of REEs in phosphoric acid facilitates selective leaching of FAP. [ABSTRACT FROM AUTHOR]