The balanced chemical equations is 2 Al + 3 CuCl2H4O2 = 2 AlCl3 + 3 Cu + 6 H2O.
This tells us we need 2 moles of Al for every three moles of CuCl2H4O2. for a balanced reaction that will produce 2 moles of AlCl3, 3 moles of copper, and 6 moles of water.
We are limited to 4.00 g of copper (II) chloride and have excess aluminum (more than needed). To determine the amount of aluminum needed for a balanced reaction, we first calculate the number of moles of CuCl2H4O2:
The molar mass of CuCl2H4O2 is 170.48 g/mole, We have 4.00 g. To calculate moles:
= 4.00 g /170.48g/mole = 0.0234 moles
The calculation is rounded to the same number of significant digits (3) as the CuCl2H4O2 .
We have excess aluminum, so to calculate the theoretical yield of copper, we assume that all of the copper chloride dihydrate is consumed in the reaction. This can be predicted from the metal reactivity table. Aluminum is more reactive than copper and will thus replace it in this compound to form AlCl3 and knock the copper out. The equation says we’ll get 2 moles of Cu for every 3 moles of CuCl2H4O2. We take that ratio and multiply it times the moles of CuCl2H4O2 we reacted to calculate the moles of Cu produced, in theory.
0.0234 moles * 2/3 = 0.0156 moles of Cu
The molar mass of Cu is 63.546 g/mole. To calculate the number of grams that is contained in 0.0156 moles of Cu, do the conversion:
(0.0156 moles Cu) x (63.546 g/mole) = 0.994 grams Cu
Assuming one obtained 0.80 g of dried copper from the experiment, the % yield would be calculated:
(Actual/Theoretical) times 100%
Here:
(0.80/0.994) x 100% = 0.80 or 80%
You got 80% of what would have been expected, if everything went perfectly. A lab report usually has a section for discussing what errors may have occurred, as is requested here. There are no clear answers, unless your labmate dropped the sample of the lab table and used his hand to brush it back into the beaker, as mine did one year. That was easy. Other possibilities include scale not in calibration, weighing and pouring errors, contaminants (e.g., not entirely dried or excess reactant present) and calculation error. The presence of contaminants can lead to recovery values of over 100%. [editor's note: 120% recovery sounds like a sure “A,” but the teacher knows the deal.]