The percent of aluminum in the compound, Al2X3, is 18.56 %. What is the molar mass of element X ?
Solution:
Al2X3
%Al = (2 × Molar mass of Al / Molar mass of Al2X3) × 100%
18.56% = (2 × 26.98 g Al mol-1 / Molar mass of Al2X3) × 100%
0.1856 = (53.96 / Molar mass of Al2X3)
Molar mass of Al2X3 = 53.96 / 0.1856 = 290.73
Molar mass of Al2X3 = 2 × Molar mass of Al + 3 × Molar mass of X
290.73 = 2 × 26.98 + 3 × Molar mass of X
290.73 = 53.96 + 3 × Molar mass of X
Molar mass of X = (290.73 - 53.96) / 3 = 78.92 g/mol
Answer: The molar mass of element X is 78.92 g/mol
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