A compound contains 40.45% C, 7.87%H, 15.73% N and 35.96%O. How many atoms of H are present in the empirical formula of the compound?Group of answer choices1327
Question
A compound contains 40.45% C, 7.87%H, 15.73% N and 35.96%O. How many atoms of H are present in the empirical formula of the compound?Group of answer choices1327
Solution
To find the number of atoms of H in the empirical formula of the compound, we need to convert the percentages to moles.
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First, assume that you have 100g of the compound. This means that you have 40.45g of C, 7.87g of H, 15.73g of N, and 35.96g of O.
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Next, convert these amounts to moles. The atomic masses of C, H, N, and O are approximately 12.01g/mol, 1.008g/mol, 14.01g/mol, and 16.00g/mol, respectively.
Moles of C = 40.45g / 12.01g/mol = 3.37 mol Moles of H = 7.87g / 1.008g/mol = 7.81 mol Moles of N = 15.73g / 14.01g/mol = 1.12 mol Moles of O = 35.96g / 16.00g/mol = 2.25 mol
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To find the empirical formula, divide each of these amounts by the smallest amount, which is 1.12 mol (N).
Ratio of C = 3.37 mol / 1.12 mol = 3 Ratio of H = 7.81 mol / 1.12 mol = 7 Ratio of N = 1.12 mol / 1.12 mol = 1 Ratio of O = 2.25 mol / 1.12 mol = 2
So, the empirical formula of the compound is C3H7N1O2. This means that there are 7 atoms of H in the empirical formula of the compound.
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