Effect of Titanium on Itakpe Iron Ores Using Mathematical Modeling Approach with Respect to Second Law of Thermodynamic Principle

Abstract

The objectives of this study were to evaluate the effect of titanium on iron ores and how it controls the strength, magnetization, and density (grade) of iron ores. The effectiveness of iron ores in Extractive Industry depends on the ratio of titanium to iron in the solid solution during crystallization of magma with respect to Gibbs free energy and can be mathematically expressed as, [Fe_3-xTi_x]O₄ and [Fe_2-xTi_x]O_3.   Methodologically, 1Kg of each of five samples of iron ores were collected from Itakpe iron ore, which were pulverized and were compared with those that were obtained from 20Kg of Cassiterite after processing with the help of ordinary hand magnet of about 0.01Tesla. Findings have shown that, the high magnetization by ordinary hand magnet, with low strength and greater density of Itakpe iron ore indicated that the ores have not been affected by titanium. Conversely, the low magnetization by hand magnet with greater strength and lower density indicated that the ores from cassiterite have been affected by titanium. In conclusion, the presence or absence of titanium in an iron ore determines the types of magnetic separators used to separate the ores, as well as their genetic rock origin, in which the amount of titanium in iron ore increased from Basic, with ∆G = 0, e.g., basalt to more Acidic, with ∆G > 0, e.g., granite which gives the account that oceanic basalt is more magnetic, more dense, weaker strength than the granite. After comparative analyses between Itakpe iron ores and cassiterite in Jos Plateau state, using magnetism, strength, and density to appraise the iron ores according to titanium to iron ratio, concise valuable substantive empirical novel models were developed and can be employed to study iron ore. These concise empirical novel models were, "Matrix equations,” Oxidation and the Titanization, as well as Periodic Table of an iron ore, and can be recommended to study the effect of titanium on iron ores and the application can improve mineral processing in extractive Industry