The limiting reactant is lead(II) acetate the theoretical yield is 1.1909 g and the percent yield is 83.71 %.
<h3>What is a molarity ?</h3>
The amount of the sample in a specific solution volume is known as its molarity (M). The molarity of a solute per liter of the a solution is known as molar ratio. The molar concentration in a solution is another name for molarity.
<h3>Briefing:</h3>
Molarity
= moles of solute/volume of the solution
or Moles
= Molarity * volume of solution
For potassium sulfate :
Molarity = 0.116 M
Volume = 56.0 mL
The conversion of mL to L is shown below:
1 mL = 10⁻³ L
Thus, volume = 56.0×10⁻³ L
Thus, moles of potassium sulfate:
Moles = 0.116 M * 56.0 * 10-3 moles
Moles of potassium sulfate = 0.006496 moles
For lead(II) acetate :
Molarity = 0.102 M
Volume = 38.5 mL
The conversion of mL to L is shown below:
1 mL = 10⁻³ L
Thus, volume = 38.5×10⁻³ L
Thus, moles of lead(II) acetate :
Moles = 0.102 * 38.5 *10-3 moles
Moles of lead(II) acetate = 0.003927 moles
According to the given reaction:
![$\mathrm{K}_2 \mathrm{SO}_{4(a q)}+\mathrm{Pb}\left(\mathrm{C}_2 \mathrm{H}_3 \mathrm{O}_2\right)_{2(a q)} \rightarrow 2 \mathrm{KC}_2 \mathrm{H}_3 \mathrm{O}_{2(s)}+\mathrm{PbSO}_{4(a q)}$](https://tex.z-dn.net/?f=%24%5Cmathrm%7BK%7D_2%20%5Cmathrm%7BSO%7D_%7B4%28a%20q%29%7D%2B%5Cmathrm%7BPb%7D%5Cleft%28%5Cmathrm%7BC%7D_2%20%5Cmathrm%7BH%7D_3%20%5Cmathrm%7BO%7D_2%5Cright%29_%7B2%28a%20q%29%7D%20%5Crightarrow%202%20%5Cmathrm%7BKC%7D_2%20%5Cmathrm%7BH%7D_3%20%5Cmathrm%7BO%7D_%7B2%28s%29%7D%2B%5Cmathrm%7BPbSO%7D_%7B4%28a%20q%29%7D%24)
1 mole of potassium sulfate react with 1 mole of lead(II) acetate
0.006496 moles potassium sulfate react with 0.006496 mole of lead(II) acetate
Moles of lead(II) acetate = 0.003927 moles
Lead(II) acetate is limiting reagent. ( 0.003927 < 0.006496)
0.003927 mole of lead(II) acetate gives 0.003927 mole of lead(II) sulfate
Molar mass of lead(II) sulfate = 303.26 g/mol
Mass of lead(II) sulfate = Moles × Molar mass = 0.003927 × 303.26 g = 1.1909 g
Theoretical yield = 1.1909 g
Given experimental yield = 0.997 g
% yield = (Experimental yield / Theoretical yield) × 100 = (0.997/1.1909 g) × 100 = 83.71 %
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