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Question

a chemical compound containing 31.1% of Fe 53.3%of O and 15.6%of N is prepared by dissolving iron in cold dilute nitric acid. the molecular mass of the compound is 180g/mol. then its molecular formula is meritnation

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Solution

First find the empirical formula
Element % At mass %/ at mass Simple ratio Whole no ratio
Fe 31.1 56 56/31.1 = 1.8001 1.8001/1.1143 = 1.615 2
O 53.3 16 53.3 / 16 = 3.3313 3.3313/1.1143 = 2.99 3
N 15.6 14 15.6 / 14 = 1.1143 1.1143/1.1143 = 1 1


Thus the empirical formula of the compound = Fe2O3N
Mass of the compound = Empirical formula mass = 2 x 56 + 3 x 16 + 1 x 14 = 174
Molecular formula = Empirical formula x n
n= Molecular mass / Empirical formula mass = 180 / 174 = 1
Molecular formula = Empirical formula x n = ​Fe2O3N x 1 = Fe2O3N

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