a. Theoretical yield of zinc chloride:
To determine the theoretical yield of zinc chloride, we need to first calculate the number of moles of zinc and hydrochloric acid present in the reaction.
Moles of zinc:
moles of Zn = mass of Zn / molar mass of Zn
moles of Zn = 0.775 g / 65.38 g/mol
moles of Zn = 0.0118 mol
Moles of hydrochloric acid:
First, we need to calculate the mass of hydrochloric acid solution used:
mass of HCl solution = volume of HCl solution × density of HCl solutionmass of HCl solution = 8.5 mL × 1.09 g/mLmass of HCl solution = 9.285 g
Now, we can calculate the moles of hydrochloric acid:
moles of HCl = mass of HCl solution / molar mass of HCl
moles of HCl = 9.285 g / 36.46 g/mol
moles of HCl = 0.255 mol
Balanced chemical equation:
Zn + 2HCl → ZnCl2 + H2
From the balanced chemical equation, we can see that 1 mole of zinc reacts with 2 moles of hydrochloric acid. Therefore, in this reaction, 0.0118 mol of zinc will react with:
0.0118 mol Zn × (2 mol HCl / 1 mol Zn) = 0.0236 mol HCl
Since we have 0.255 mol of hydrochloric acid, which is in excess, the limiting reactant is zinc. Therefore, the theoretical yield of zinc chloride will be based on the number of moles of zinc used.
Theoretical yield of zinc chloride:
moles of ZnCl2 = moles of Zn
moles of ZnCl2 = 0.0118 mol
Mass of zinc chloride:
mass of ZnCl2 = moles of ZnCl2 × molar mass of ZnCl2
mass of ZnCl2 = 0.0118 mol × 136.29 g/mol
mass of ZnCl2 = 1.61 g
Therefore, the theoretical yield of zinc chloride that can be produced from this reaction is 1.61 g.