To find the theoretical yield of Cu (s), we need to determine the molar ratio between Fe (s) and Cu (s) in the balanced chemical equation.
From the balanced equation:
2Fe(s) + 3Cu2+(aq) → 2Fe3+(aq) + 3Cu(s)
The molar ratio between Fe (s) and Cu (s) is 3:2.
Now, let's calculate the number of moles of Fe (s) used in the reaction:
molar mass of Fe = 55.85 g/mol
moles of Fe (s) = mass of Fe (s) / molar mass of Fe
= 4.29 g / 55.85 g/mol
≈ 0.0767 mol
Using the mole ratio, we can calculate the number of moles of Cu (s) produced:
moles of Cu (s) = (moles of Fe (s) * 3) / 2
= (0.0767 mol * 3) / 2
= 0.115 mol
Finally, to find the theoretical yield of Cu (s) in grams, we can use the molar mass of Cu:
molar mass of Cu = 63.55 g/mol
mass of Cu (s) = moles of Cu (s) * molar mass of Cu
= 0.115 mol * 63.55 g/mol
≈ 7.35 g
Answer: The theoretical yield of Cu (s) is approximately 7.35 grams.