To calculate the actual yield and the yield percentage, we need to first determine the limiting reactant and the theoretical yield.
Given:
Mass of CuCl2 = 0.110 g
Molar mass of CuCl2 = 134.45 g/mol
Volume of Na3PO4 solution = 8.0 mL = 0.008 L
Molarity of Na3PO4 solution = 0.050 M
Molar mass of Na3PO4 = 163.94 g/mol
Molar mass of Cu3(PO4)2 = 380.58 g/mol
Balanced equation:
3CuCl2(aq) + 2Na3PO4(aq) → Cu3(PO4)2(s) + 6NaCl(aq)
Step-by-step solution:
1. Calculate the number of moles of CuCl2:
Moles of CuCl2 = mass of CuCl2 / molar mass of CuCl2
2. Calculate the number of moles of Na3PO4:
Moles of Na3PO4 = volume of Na3PO4 solution (in L) * molarity of Na3PO4
3. Determine the limiting reactant:
To determine the limiting reactant, we compare the moles of CuCl2 and Na3PO4 using the stoichiometric ratio from the balanced equation. The reactant that gives the smaller amount of product is the limiting reactant.
4. Calculate the theoretical yield of Cu3(PO4)2:
Using the stoichiometric ratio from the balanced equation, we can determine the moles of Cu3(PO4)2 that can be formed.
5. Calculate the actual yield:
The actual yield is the amount of Cu3(PO4)2 obtained in the reaction.
6. Calculate the yield percentage:
The yield percentage is the ratio of the actual yield to the theoretical yield, multiplied by 100.
Now, let's calculate the actual yield and the yield percentage:
1. Calculate the moles of CuCl2:
Moles of CuCl2 = 0.110 g / 134.45 g/mol
2. Calculate the moles of Na3PO4:
Moles of Na3PO4 = 0.008 L * 0.050 M
3. Determine the limiting reactant:
Compare the moles of CuCl2 and Na3PO4 using the stoichiometric ratio from the balanced equation:
Moles of CuCl2 / 3 = Moles of Na3PO4 / 2
If the moles of CuCl2 / 3 are smaller than the moles of Na3PO4 / 2, then CuCl2 is the limiting reactant. Otherwise, Na3PO4 is the limiting reactant.
4. Calculate the theoretical yield:
Theoretical yield of Cu3(PO4)2 is the amount that would be obtained if the limiting reactant is completely consumed. Calculate the moles of Cu3(PO4)2 using the stoichiometric ratio from the balanced equation.
5. Calculate the actual yield:
The actual yield is the amount of Cu3(PO4)2 obtained in the reaction.
6. Calculate the yield percentage:
The yield percentage is the ratio of the actual yield to the theoretical yield, multiplied by 100.
Please provide the actual yield of Cu3(PO4)2 or any additional information to calculate the actual yield and the yield percentage.