Answer:
Limiting reagent = lead(II) acetate
Theoretical yield = 1.2704 g
% yield = 78.09 %
Explanation:
Considering:
![Molarity=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}](https://tex.z-dn.net/?f=Molarity%3D%5Cfrac%7BMoles%5C%20of%5C%20solute%7D%7BVolume%5C%20of%5C%20the%5C%20solution%7D)
Or,
![Moles =Molarity \times {Volume\ of\ the\ solution}](https://tex.z-dn.net/?f=Moles%20%3DMolarity%20%5Ctimes%20%7BVolume%5C%20of%5C%20the%5C%20solution%7D)
Given :
For potassium sulfate :
Molarity = 0.120 M
Volume = 57.0 mL
The conversion of mL to L is shown below:
1 mL = 10⁻³ L
Thus, volume = 57.0×10⁻³ L
Thus, moles of potassium sulfate:
![Moles=0.120 M \times {57.0\times 10^{-3}}\ moles](https://tex.z-dn.net/?f=Moles%3D0.120%20M%20%5Ctimes%20%7B57.0%5Ctimes%2010%5E%7B-3%7D%7D%5C%20moles)
Moles of potassium sulfate = 0.00684 moles
For lead(II) acetate :
Molarity = 0.118 M
Volume = 35.5 mL
The conversion of mL to L is shown below:
1 mL = 10⁻³ L
Thus, volume = 35.5×10⁻³ L
Thus, moles of lead(II) acetate :
![Moles=0.118 \times {35.5\times 10^{-3}}\ moles](https://tex.z-dn.net/?f=Moles%3D0.118%20%5Ctimes%20%7B35.5%5Ctimes%2010%5E%7B-3%7D%7D%5C%20moles)
Moles of lead(II) acetate = 0.004189 moles
According to the given reaction:
![K_2SO_4_{(aq)}+Pb(C_2H_3O_2)_2_{(aq)}\rightarrow 2KC_2H_3O_2_{(s)}+PbSO_4_{(aq)}](https://tex.z-dn.net/?f=K_2SO_4_%7B%28aq%29%7D%2BPb%28C_2H_3O_2%29_2_%7B%28aq%29%7D%5Crightarrow%202KC_2H_3O_2_%7B%28s%29%7D%2BPbSO_4_%7B%28aq%29%7D)
1 mole of potassium sulfate react with 1 mole of lead(II) acetate
0.00684 moles potassium sulfate react with 0.00684 mole of lead(II) acetate
Moles of lead(II) acetate = 0.004189 moles
Limiting reagent is the one which is present in small amount. Thus, lead(II) acetate is limiting reagent. ( 0.004189 < 0.00684)
The formation of the product is governed by the limiting reagent. So,
1 mole of lead(II) acetate gives 1 mole of lead(II) sulfate
0.004189 mole of lead(II) acetate gives 0.004189 mole of lead(II) sulfate
Molar mass of lead(II) sulfate = 303.26 g/mol
Mass of lead(II) sulfate = Moles × Molar mass = 0.004189 × 303.26 g = 1.2704 g
Theoretical yield = 1.2704 g
Given experimental yield = 0.992 g
<u>% yield = (Experimental yield / Theoretical yield) × 100 = (0.992/1.2704 g) × 100 = 78.09 %</u>