A sample of an oxide of nitrogen is found to contain 30.4% nitrogen. What is its empirical formula?
Question
A sample of an oxide of nitrogen is found to contain 30.4% nitrogen. What is its empirical formula?
Solution
To find the empirical formula, follow these steps:
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Assume you have 100g of the substance. This means you have 30.4g of Nitrogen (N) and 69.6g of Oxygen (O).
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Convert the mass of each element to moles. Nitrogen's atomic mass is approximately 14g/mol and Oxygen's atomic mass is approximately 16g/mol.
So, for Nitrogen: 30.4g / 14g/mol = 2.17 mol And for Oxygen: 69.6g / 16g/mol = 4.35 mol
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Divide each mole quantity by the smallest number of moles calculated. In this case, 2.17 is the smallest.
So, for Nitrogen: 2.17 mol / 2.17 = 1 And for Oxygen: 4.35 mol / 2.17 = 2
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If necessary, multiply these numbers by integers in order to get whole numbers; it's not necessary in this case.
So, the empirical formula of the oxide of nitrogen in this case is NO2.
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