Find the molecular masses of all species involved.
Al = 26.98 g/mol
Cl2 = 70.90 g/mol
AlCl3 = 133.33 g/mol
Convert the grams into moles.
moles of Al = g/mm = 20.00 g/26.98 g/mol = 0.74 moles of aluminum on hand.
moles of Cl2 = g/mm = 30.00 g/70.90 g/mol = 0.42 moles of chlorine on hand.
Which is the limiting reagent?
IF we use all aluminum then:
2Al/0.74 = 3Cl2/X
X = 0.28 moles of aluminum are needed.
We don't have 1.11 moles of chlorine. We have 0.42 moles of chlorine. Therefore we
will run out of chlorine first. It is the limiting reactant
Use the limiting reactant to cross the ratio bridge and find the moles of AlCl3 that will
be produced.
3Cl2/0.42 mol = 2AlCl3/x
X = 0.28 moles of AlCl3 are produced
Grams of aluminum chloride are found with g = n * mm = 0.28 mol * 133.33 g/mol = 37.33 g
When 20.0 grams of aluminum and 30.0 grams of chlorine are
reacted according to the above equation, the chlorine is the limiting reactant and the
maximum yield of aluminum chloride is 0.28 moles or 37.33 grams.
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