LIMITING REAGENTS 131
Example 8.9
Methane is converted to carbon dioxide and water when burned
in a plentiful supply of oxygen (complete combustion):
CH 4 (g)2O 2 (g)CO 2 (g)2H 2 O(I)
If 10 g of CO 2 were obtained when 16 g of CH 4 were burned in a
limited supply of oxygen gas, what would be the percentage
yield of carbon dioxide?
Answer
If 16 g of methane is burned in oxygen and 10 g of carbon dioxide are formed, then
the theoretical yield of carbon dioxide formed can be found from the equation:
CH 4 (g)2O 2 (g)CO 2 (g)2H 2 O(I)
1 mol CH 4 (g) produces 1 mol CO 2 (g)
16 g CH 4 (g) produces 44 g CO 2 (g)
percentage yield of CO 2
experimental yield
100
theoretical yield
10
100
44
23%
Comment
In a limited supply of oxygen, not all of the methane would be converted to carbon
dioxide – carbon monoxide and soot (carbon) would also be formed. In this case,
incomplete combustion occurs.
Percentage yields
A student prepared solid magnesium oxide by burning 4.8 g
of magnesium metal in air. Unfortunately, much of the white
magnesium oxide produced in this way formed a white
smoke which dispersed into the air of the laboratory. The
student recovered 4.5 g of magnesium oxide. What was the
percentage yield of magnesium oxide?
Exercise 8K
Limiting reagents
We have very often specified that a particular reagent is in excess; this means that
there are more than enough moles of it to react with the other reactant. Under these
circumstances it is the reagent that is notin excess that controls the amount of
product. This reagent is called the limiting reagent.
8.8