Titanium is a strong, lightweight, corrosion-resistant metal that is used in roc

Question

Titanium is a strong, lightweight, corrosion-resistant metal that is used in rockets, aircraft, jet engines, and bicycle frames. It is prepared by the reaction of titanium(IV) chloride with molten magnesium between 95OdegreeC and 1150degreeC: TiCI_4(g) + 2Mg(1) rightarrow Ti(s) + 2MgCI_2(I) In a certain industrial operation 3. 54 times 10^7 g of TiCI_4 are reacted with 1. 13 times 10^7 g of Mg. Answer the following questions for full credit. (a) Identify the limiting rcaclant for the formation of Ti. (b) Calculate the theoretical yield of Ti in grams. (c) Calculate the percent yield if 6. 91 times 10^6 g of Ti are actually obtained. (d) Is this reaction considered to be a redox reaction? If so, document which rcactant is oxidized and which rcactant is reduced.

Explanation / Answer

mol TiCl4 = mass/MW = (3.54*10^7)/(189.679) = 186631.097802 mol

mol Mg = mass/MW = 1.13*10^7)/(24.3) = 465020.5761 mol

465020.5761 /186631.097802 = 2.49165 mol of TiCl4 per mol of Mg

then, Mg is limiting.

b.

theoretical yield --> 186631.097802 mol of Mg should produce --> 1/2¨*186631.097802 = 93315.548901 mol of Ti

mass = mol*MNW = 93315.548901*47.867 = 4466735.37924 g of Ti

c.

% yiel =real/theoreticla * 100 = 4466735.37924/(6.91*10^6) * 100 = 64.64161%

d.

yes, since Ti goes ftrom +4 to 0 and Mg form 0 to +2

oxidation --> Mg

reduciton -_> Ti

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