Strategy and Explanation a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of the atoms in the chemical formula: [1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S x (32.07 g S/mol S)] + [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)] + [7 mol O x (15.9994 g O/mol 0)] = 246.49 g/mol Epsom salt %3D Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is, 7 mol H,O x (18.012 g H,O/mol H2O) = 126.08 g H,0 %3D 126.08 g water per mol Epsom salt 246.49 g/mol Epsom salt % H,O = x 100% = 51.15% H,O p. We calculate the percentage of magnesium from the ratio of the mass of magnesium in 1 mol Epsom salt to the mass of Epsom salt in 1 mol: mass of Mg in 1 mol Epsom salt % Mg %3D mass of Epsom salt in 1 mol 24.31 g Mg x 100% 9.862% Mg 246.49 g/mol Epsom salt

Appl Of Ms Excel In Analytical Chemistry
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PROBLEM-SOLVING EXAMPLE 3-6 Percent Composition
of Hydrated Salt
Epsom salt is MgSO, 7 H,O. (a) What is the percent by mass of water in Epsom salt?
(b) What are the percentages of each element in Epsom salt?
Strategy and Explanation
a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of
the atoms in the chemical formula:
[1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S x (32.07 g S/mol S)]
+ [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)]
+ [7 mol O x (15.9994 g O/mol O)] = 246.49 g/mol Epsom salt
Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is,
7 mol H,O x (18.012 g H,O/mol H,O) = 126.08 g H,0
126.08 g water per mol Epsom salt
% H,O =
x 100% = 51.15% H,O
%3D
246.49 g/mol Epsom salt
b. We calculate the percentage of magnesium from the ratio of the mass of magnesium
in 1 mol Epsom salt to the mass of Epsom salt in 1 mol:
mass of Mg in 1 mol Epsom salt
% Mg
mass of Epsom salt in 1 mol
24.31g Mg
x 100% = 9.862% Mg
246.49 g/mol Epsom salt
Transcribed Image Text:PROBLEM-SOLVING EXAMPLE 3-6 Percent Composition of Hydrated Salt Epsom salt is MgSO, 7 H,O. (a) What is the percent by mass of water in Epsom salt? (b) What are the percentages of each element in Epsom salt? Strategy and Explanation a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of the atoms in the chemical formula: [1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S x (32.07 g S/mol S)] + [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)] + [7 mol O x (15.9994 g O/mol O)] = 246.49 g/mol Epsom salt Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is, 7 mol H,O x (18.012 g H,O/mol H,O) = 126.08 g H,0 126.08 g water per mol Epsom salt % H,O = x 100% = 51.15% H,O %3D 246.49 g/mol Epsom salt b. We calculate the percentage of magnesium from the ratio of the mass of magnesium in 1 mol Epsom salt to the mass of Epsom salt in 1 mol: mass of Mg in 1 mol Epsom salt % Mg mass of Epsom salt in 1 mol 24.31g Mg x 100% = 9.862% Mg 246.49 g/mol Epsom salt
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