The present work is an extensive laboratory study of organosulfate (OS) formation from the reaction of alpha-pinene oxidation products or proxies with acidified ammonium sulfate aerosols in three different acidity conditions ((NH4)(2)SO4 0.06 M; (NH4)(2)SO4/H2SO4 0.06 M/0.005 M; (NH4)(2)SO4/H2SO4 0.03 M/0.05 M). The kinetics of the reactions of alpha-pinene, alpha-pinene oxide, isopinocampheol, pinanediol, and myrtenal with ammonium sulfate particles were studied using a quasi-static reactor. The reaction of alpha-pinene oxide with the highly acidic ammonium sulfate particles was determined to be 7, 10, 21, and 24 times faster than for isopinocampheol, alpha-pinene, pinanedial, and myrtenal, respectively, for an OS precursor concentration of 1 ppm and after 1 h reaction time. The effective rate coefficients for OS formation from alpha-pinene oxide were determined to be 2 orders of magnitude higher in highly acidic conditions than for the two other acidity conditions. For alpha-pinene oxide reactions with highly acidic ammonium sulfate particles, OS formation was observed to increase linearly with (i) the time of reaction up to 400 min (r(2) > 0.95) and (ii) alpha-pinene oxide gas-phase concentration. However, OS formation from alpha-pinene oxide reactions with slightly acidic or pure ammonium sulfate particles was limited, with a plateau ([OS](max) = 0.62 +/- 0.03 mu g) reached after around 15-20 min. Organosulfate dimers (m/z 401 and m/z 481) were detected not only with highly acidic particles but also with slightly acidic and pure ammonium sulfate particles, indicating that oligomerization processes do not require strong acidity conditions. Dehydration products of organosulfates (m/z 231 and m/z 383) were observed only under highly acidic conditions, indicating the key role of H2SO4 on the dehydration of organosulfates and the formation of olefins in the atmosphere. Finally, this kinetic study was completed with simulation chamber experiments in which the mass concentration of organosulfates was shown to depend on the available sulfate amount present in the particle phase (r(2) = 0.96). In conclusion, this relative comparison between five organosulfate precursors shows that epoxide was the most efficient reactant to form organosulfates via heterogeneous gas-particle reactions and illustrates how gas-particle reactions may play an important role in OS formation and hence in the atmospheric fate of organic carbon. The kinetic data presented in this work provide strong support to organosulfate formation mechanisms proposed in part 1 (J. Phys. Chem. A 2016, 120, 7909-7923).