A 0.8690 g sample of a mixture of NaCl and KCl is dissolved in water, and the solution is then treated with an excess of AgNO3 to yield 1.933 g of AgCl. Calculate the percent by mass of each compound in the mixture.
% mass NaCl = ?
% mass KCl = ?
% NaCl = 56.98 %
% KCl = 43.02 %
Explanation
mass AgCl = 1.933 g
moles AgCl = (mass AgCl) / (molar mass AgCl)
moles AgCl = (1.933 g) / (143.32 g/mol)
moles AgCl = 0.01349 mol
Let mass NaCl = x
moles NaCl = (mass NaCl) / (molar mass NaCl)
moles NaCl = (x) / (58.44 g/mol)
moles NaCl = (x / 58.44) mol
moles AgCl produced from NaCl = moles NaCl
moles AgCl produced from NaCl = (x / 58.44) mol
Similarly, moles AgCl produced from KCl = (0.8690 - x) / 74.55 mol
Total moles of AgCl produced = (moles AgCl produced from NaCl) + (moles AgCl produced from KCl)
0.01349 mol = (x / 58.44) mol + (0.8690 - x) / 74.55 mol
Solving for x, x = 0.4952 g
Mass NaCl = x = 0.4952 g
% NaCl = (mass NaCl / mass sample) * 100
% NaCl = (0.4952 g / 0.8690 g) * 100
% NaCl = 56.98 %
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