This paper investigated the kinetic modeling of carbothermal reduction reaction rates in quartz and carbon black agglomerates under varying temperatures, quartz particle sizes, and quartz species. The experiments employed a thermogravimetric furnace to conduct the carbothermal reduction reactions, with weight loss examined and reaction rates calculated at different temperatures. The effects of various parameters and quartz types are discussed, and the reaction rate of the chemical process in the agglomerate is determined by the following equation: \(\frac{d\eta }{dt}=k(T)\times f(\eta )=[1-(2.514\times {10}^{-19}\times {X}_{{SiO}_{2}}^{-8.83}+0.0119)\times \eta ]\times A\times \text{exp}(-\frac{E}{RT})\) . The silica factor \({F}_{{SiO}_{2}}\) was used to characterize the effect of different quartzes on the gas-solid interfacial reaction. The values of \({F}_{{SiO}_{2}}\) were 1.32, 1.22, and 1.05 for the three quartz species. The isothermal portion of the reaction data was fitted using the isothermal isoconversion method and model fitting method. The activation energies of Q2, Q3, and Q4 were 269 kJ/mol, 319 kJ/mol, and 341 kJ/mol. The Pre-exponential factor A for the three quartzes at temperatures 1898 K (1625 °C), 1923 K (1650 °C), and 1948 K (1675 °C) are 1.22E+08 m-1, 5.44E+09 m-1, and 2.87E+10 m-1.
