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Titanium is a strong, lightweight, corrosion-resistant metal that is used in the construction of rockets, air
Titanium is a strong, lightweight, corrosion-resistant metal that is used in the construction of rockets, aircrafts, and jet engines. It is prepared by reduction of titanium(IV) chloride with molten magnesium between 9500C and 11500C.
Please help:0(
TiCl4(g) + 2Mg(l) Ti(s) + 2MgCl2(l)
In a certain operation, 3.54 x 104 kg of TiCl4 is reacted with 1.13 x 104 kg of Mg.
(a)Calculate the theoretical yield of Ti in kilograms and grams.
(b)Calculate the percentage yield if 7.91 x 103 kg of Ti is actually obtained.
TiCl4(g) + 2Mg(l) ————> Ti(s) + 2MgCl2(l)
yes you was right thank you
The limiting reagent is TiCl4, not Magnesium. It’d be stupid to use less magnesium if you try to extract titanium.
TiCl4: 3.54*10^4 kg = 3.54*10^7 g
molar mass = (47.88 + 4*35.453) = 189.692 g/mol
mole TiCl4 = 3.54*10^7 g * 1 mol/189.692 g = 186618.3 mol
Mg: 1.13*10^4 kg = 1.13*10^7 g
molar mass = 24.31 g/mol
mole Mg = 1.13*10^7 g * 1 mol/24.31 g = 464829.3 mol
Every mole of TiCl4 requires 2 times Mg, obviously there are so much more Mg left .
186618*2 = 373236 mol Mg needed.
464829.3 mol Mg is available.
TiCl4 is definitely the limiting reagent.
Theoretical Yield of Ti:
186618.3 mol TiCl4 * 1 mol Ti/1 mol TiCl4 * 47.88 g Ti/mol
= 8935188 g Ti (=8935.2 kg)
= 8.935*10^3 kg
% yield
= 7.91*10^3 kg / 8.935*10^3 kg * 100%
= 88.5 %
Talon Air, Inc Gulfstream IV SP Private Jet
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