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Review of MgO, Properties 6 <br /> the system or only the small amount that is in solution as a function'of the solubility <br /> product. The point is that it is relatively constant in either case. The expression: <br /> -d [Mg02 ]Idt = d[02 ]/dt = kM, - k[02 ] [i0A]. <br /> will give first order Kinetics that are a function of the Oz concentration developed in the <br /> system. This was seen in our m,in work and the work at USC. If the concentration of <br /> oxygen is Dept essentially at zero, the expression is then: <br /> -d N902 ]!dt = d[02yd,= k1�i, [11} <br /> which will integrate as zero order kinetics. An interesting fe_':',a of the above is that if <br /> We add znothar mechanism for removing oxygen, e.g., bacts,ia, plant cells, etc., the <br /> picture does not change. To sae this, consider: <br /> 02 -> reM, OVal by another meth:nis,.m [12} <br /> This simply Gds another removal term to eq'J�;ion [10 A). so that: <br /> S -d(iV1gO2 ]Id! = dr02 }!dt = k1% - k[02 ] - k' 21 [13] <br /> where k' Is t�"l3 rate constant for equation (12). but, we Can Co:itJ1ne the Constanis til <br /> equation [13} as: <br /> -d[MgO2 )!dt = d102 }!dt = k,N.to - (k+k) [0, ] [14] <br /> and the new constant can be replaced by a single value since, if the reactions were <br /> occurring sim'�Itaneously, there would be no direct way of d:�:inguishing whether the <br /> constant measured was one of the sual of two. The we Would still sae first <br /> order kinetics. <br /> Thus, the oxygen leaving reaction [S] drives it to the right ii" can actually leave the <br /> system. This is one of the reasons we want s!o:v rebase. �'f: do not `+pant the oxygen to <br /> be released so fast that it exceeds the ability of water to ho':d it over long periods of <br /> tina (at equilibrium - `ve don'i care that water can hold 50 ppirl for short periods of time <br /> - plants and bacteria take a long time to grotiv and metaboliz-e - it is the long-term <br /> concentrations we are concerned with). <br /> • It should also benoted that oxygen in water can react to give small amounts of <br /> peroxide under the right conditions but even th:s would re-pct back again tivith either the <br /> Mg (OH)2 or MgO because of thermodynamics of t'na peroxide reactions. <br />