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Maximum Equilibrium Chemical Transformation As A Tool to Evolve 19 A Mathematical Inequality
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For gas phase chemical reactions of the types a1A1 + a2A2 +......+ arAr → b1B1, the conditions for maximum yield at equilibrium fit into a general mathematical inequality which in compact notation takes the form rπi=1(xi)ai ≤ 1 if rƩi=1Fixi = 1 and Fi = ai/rƩj=1aj for positive values of ai and xi. The equality sign holds if xi= 1 for all i, and the inequality refers to all other situations. Moreover, x1 = x2 = …. = xr = 1 are the coordinates of the common point of the hyperplanes ƩFixi = 1, which corresponds to the point of equilibrium of stoichiometric mixturechiometric mixture.
Keywords
General Reaction, Stoichiometry, Inequality Relation, R-dimensional Space, Hyperplane
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- S Kole, A Theoretical Study of the Formation Reactions of Chemical Compounds for Maximum Equilibrium Conversion, Indian Science Cruiser, ISEC, Kolkata 700017, Vol 33, No 1, Page 45-56, 2019.
- S Kole, Uniqueness of Equilibrium: Nature’s Choice as against Perpetual Motion, Indian Science Cruiser, ISEC, Kolkata 700017, Vol 35, No 4, Page 8-9, 2021.
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