Answer:
34.48 grams = Theoretical yield
The % yield is 85.85 %
Explanation:
<u>Step 1:</u> The balanced equation
Pb2+(aq) + 2KCl(aq) → PbCl2(s) + 2K+(aq)
For 1 mole Pb2+ consumed, we need 2 moles of KCl to produce 1 mole of PbCl2 and 2 moles of K+
<u>Step 2:</u> Given data
Mass of KCl = 28.8 grams
Mass of Pb2 = 25.6 grams
Mass of dried PbCl2 = 29.6 grams
Molar mass of Pb2+ = 207.2 g/mol
Molar mass of KCl = 74.55 g/mol
Molar mass of PbCl2 = 278.1 g/mol
<u>Step 3:</u> Calculate moles of Pb2+
Moles = mass / Molar mass
Moles Pb2+ = 25.6 grams / 207.2 g/mol = 0.124 moles
<u>Step 4:</u> Calculate moles of KCl
Moles = 28.8 grams / 74.55 g/mol = 0.386 moles
<u>Step 5</u>: Calculate limiting reactant
For 1 mole Pb2+ consumed, we need 2 moles of KCl
Pb2+ is the limiting reactant. It will completely ( 0.124 moles) be consumed. There will remain 0 moles
There will react 2* 0.124 = 0.248 moles of KCl. There will remain 0.386 - 0.248 = 0.138 moles of KCl
<u>Step 6:</u> Calculate number of moles of PbCl2
For 1 mole Pb2+ consumed, we need 2 moles of KCl to produce 1 mole of PbCl2 and 2 moles of K+
For 0.124 moles of Pb2+ consumed ,there will be produced 0.124 moles of PbCl2
<u>Step 7:</u> Calculate mass of PbCl2
Mass = Numbers of moles * Molar mass
mass PbCl2 =0.124 moles * 278.1 g/mol = 34.48 grams = Theoretical yield
<u>Step 8</u>: Calculate % yield
% yield = (actual yield / theoretical yield) * 100 = (29.6 grams / 34.48 grams) *100 % = 85.85 %
The % yield is 85.85 %