For the reaction shown, compute the theoretical yield of the product in grams for each of the following initial amounts of reactants.
Ti (s) + 2 F2 (g) –> TiF4 (s)
a. 1.0 g Ti; 1.0 g F2
b. 4.8 g Ti; 3.2 g F2
c. 0.388 g Ti; 0.341 g F2
*** ANSWER MUST BE IN GRAMS ONLY
2 Answers

From the balanced equation:
Ti + 2F2 → TiF4:
1mol Ti reacts with 2 mol F2 to produce 1 mol TiF4
Molar mass Ti = 47.88g/mol
1g Ti = 1/47.88 = 0.02089 mol Ti
Molar mass F2 = 18.998*2 = 37.996g/mol
1g = 1/ 37.996 = 0.0263mol F2
1mol Ti reacts with 2mol F2
0.02089mol Ti will react with 0.04178 mol F2
You have insufficient F2 – which is the limiting reactant:
2mol F2 produces 1 mol TiF4
0.0263mol F2 will produce 0.0263/2 = 0.0132mol TiF4
Molar mass TiF4 = 123.86 g/mol
0.0132 mol TiF4 = 123.86*0.0132 = 1.635g TiF4 Theoretical production.
b) In this case the F2 is also limiting:
1g F2 produced 1.635g TiF4
3.2g F2 will produce: 3.2*1.635 = 5.23g TiF4
c) 0.341g F2 will produce 0.341*1.635 = 0.558g TiF4

Took me a while to remember how to do it but…
The molecular weight of Ti is 47.867 (Mw(Ti)). Mw(F2) is 19×2 = 38
In a, you have 1.0g of each, using number of moles = mass in grams / molecular weight
n(Ti) = 0.021mol
n(F2) = 0.026mol
But you have a 1:2 ratio from the equation. So each mole of Ti reacts with 2moles of F2. So we divide the number of moles of F2 by 2 to get 0.013mol. Thats the total number of moles of TiF4 that can be made.
Mw(TiF4) = 123.867
g(TiF4) = 0.013mol x 123.867g/mol = 1.6g
The same method for the rest
b = 5.2g
c = 0.556g
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About This Article
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Environmental Scientist
This article was coauthored by
Bess Ruff, MA
. Bess Ruff is a Geography PhD student at Florida State University. She received her MA in Environmental Science and Management from the University of California, Santa Barbara in 2016. She has conducted survey work for marine spatial planning projects in the Caribbean and provided research support as a graduate fellow for the Sustainable Fisheries Group. This article has been viewed 808,867 times.
Coauthors: 12
Updated: August 22, 2022
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Article SummaryX
To calculate theoretical yield, start by finding the limiting reactant in the equation, which is the reactant that gets used up first when the chemical reaction takes place. Then, write down the number of moles in the limiting reactant. Next, divide the number of molecules of your desired product by the number of molecules of your limiting reactant to find the ratio of molecules between them. Then, multiply the ratio by the limiting reactant’s quantity in moles. Finally, convert your answer to grams. To learn how to determine the limiting reactant in the equation, continue reading the article!
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