# 503hw5 - MatSc 503 Solutions to HW#5 1 The general reaction...

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MatSc 503: Solutions to HW #5 1. The general reaction for desulfurization from molten iron to slag can be written as [S] in Fe « [S] in slag The order of reaction(n) is decided based on what value of ’n’ satisfies the equation, dS dt kS Fe Fe n [] .[ ] =- ( ) where ’k’ is the reaction rate constant. Negative sign implies that concentration of sulfur in slag decreases with time. For each value of ’n’, change in sulfur concentration with time is given by a different equation. n = 0; n = 1; ln n = 2; . . Sk t A t B S kt C Fe Fe Fe + + =+ 1 where A,B, C are integration constants. By obtaining the best fit for the data using the above equations, we can find the order of reaction in both cases(with and without Si). From the correlation coefficient obtained from fit (not shown here), it is clear that both reactions are first order. This means that Si increases the rate constant of the desulfurization reaction. It can be verified by comparing the rate constants from the equation of best fit.

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503hw5 - MatSc 503 Solutions to HW#5 1 The general reaction...

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