Treatment of a 0.2500g sample of impure potassium chloride with an excess of AgNO3 resulted in the formation of 0.2912 g of AgCl (74.55 g/mol). Calculate the percentage of KCl (143.32 g/mol) in the sample
Solution:
Calculate the moles of AgCl:
The molar mass of AgCl is 143.32 g/mol
Therefore,
Moles of AgCl = (0.2912 g AgCl) × (1 mol AgCl / 143.32 g AgCl) = 0.002032 mol AgCl
Balanced chemical equation:
KCl(aq) + AgNO3(aq) → AgCl(s) + KNO3(aq)
According to stoichiometry:
1 mol of KCl produces 1 mol of AgCl
X mol of KCl produces 0.002032 mol of AgCl
Thus,
Moles of KCl = X = (0.002032 mol AgCl) × (1 mol KCl / 1 mol AgCl) = 0.002032 mol KCl
Calculate the mass of KCl:
The molar mass of KCl is 74.55 g/mol
Therefore,
Mass of KCl = ( 0.002032 mol KCl) × (74.55 g KCl / 1 mol KCl) = 0.151485 g KCl = 0.1515 g KCl
Calculate the percentage of KCl in the sample:
%KCl = (Mass of KCl / Mass of sample) × 100%
%KCl = (0.1515 g / 0.2500 g) × 100% = 60.6%
%KCl = 60.6%
Answer: The percentage of KCl in the sample is 60.6%
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