Stoichiometry Question

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 950°C and 1150°C.

TiCl4(g)+2Mg(l)==>Ti(s)+2MgCl2(l)

In a certain industrial operation 3.54 X 10^7 -g of titanium(IV)chloride are reacted with excess magnesium.

a. Calculate the theoretical yield of titanium in grams.

b. Calculate the %-yield if 7.91 X 10^6 -g are actually obtained.

Answer 1

a. (3.54 x 10⁷ g TiCl₄) x (1 mol TiCl₄/189.679 g TiCl₄) x (1 mol Ti/1 mol TiCl₄) x (47.867 g Ti/1 mol Ti) =

8.93 x 10⁶ g Ti

b. Percent Yield = (Actual Yield/Theoretical Yield) x 100%

Percent Yield = ((7.91 x 10⁶ g Ti)/(8.93 x 10⁶ g Ti)) x 100%

Percent Yield = 88.6%