# solutions2.2 - Math 307: Problems for section 2.2 October...

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Math 307: Problems for section 2.2October 16, 2012Problem: The following formula matrix occurs in a chemical system given by a rock sample[3]. The elements areSi,Al,Fe,Mg,K,HandO. The species arequ = quartz (SiO2)si = sillimanite (Al2SiO5)Kf = K feldspar (KAlSi3O8)st = steam (H2O)al = almandine (Fe3Al2Si3O12)py = pyrope (Mg3Al2Si3O12)an = annite (KFe3Si3AlO10(OH)2)ph = phlogopite (KMg3Si3AlO10(OH)2)Fec = Fe-cordierite (Fe2Al4Si5O18)Mgc = Mg-cordierite (Mg2Al4Si5O18).Thus, the formula matrix isA=qusiKfstalpyanphFecMgcSi1130333355Al0210221144Fe0000303020Mg0000030302K0010001100H0002002200O2581121212121818(i) Determine possible reactions for this system.(ii) Is there a fixed ratio of molar amounts of the elements in every possible sample composedof species from this system?

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Term
Fall
Professor
RICHARDFROESE
Tags
Math, KF, formula matrix, Al4 Si5 O18, Al2 Si3 O12