Question

1. Titanium occurs in the magnetic mineral ilmenite (FeTiO3), which is often found mixed up with sand. The ilmenite can be separated from the sand with magnets. The titanium can then be extracted from the ilmenite by the following set of reactions:
FeTiO3(s)+3Cl2(g)+3C(s)→3CO(g)+FeCl2(s)+TiCl4(g)TiCl4(g)+2Mg(s)→2MgCl2(l)+Ti(s)
Suppose that an ilmenite-sand mixture contains 20.2 % ilmenite by mass and that the first reaction is carried out with a 91.6 % yield.

If the second reaction is carried out with an 86.0 % yield, what mass of titanium can be obtained from 1.40 kg of the ilmenite-sand mixture?

2. In a laboratory experiment 4.567 g of nickel metal was obtained by a student. The student then calculated based on the amount of reactants used that 5.731 g were possible. What is the student's percent yield?

3. Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300. mg HCN per kilogram of air when inhaled. The density of air at26 ∘C is 0.00118 g/cm3.

Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 12.0 ft×15.0 ft×8.60ft.

Answer 1

FeTiO3(s)+3Cl2(g)+3C(s)→3CO(g)+FeCl2(s)+TiCl4(g)

TiCl4(g)+2Mg(s)→2MgCl2(l)+Ti(s)

m of sand = 1.4 kg

only 20.2% has ilmenite so

1.4*0.202 = 0.2828 kg of ilmenite (FeTiO3)

% Ti in ilmenite = MW of Ti / MW of ilmenite = 47.867 /(151.7) * 100 = 31.5%

So, from those 0.2828 kg

0.315*0.2828 = 0.089 kg are titanium

only 91.6% is reacted

Of those 0.089 kg of Ti, only 0.916 is converted

0.089*0.916= 0.08162 kg of Titanium in solid

then second reaction, only 86% reacts

so

0.08162 *0.86 = 0.0702 kg of Ti