A compound has 40% Carbon 6.6% Hydrogen & 53.3% Oxygen. Calculate the Empirical Formula of the compound.
Question
A compound has 40% Carbon 6.6% Hydrogen & 53.3% Oxygen. Calculate the Empirical Formula of the compound.
Solution 1
Sure, here are the steps to calculate the empirical formula of the compound:
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Assume that you have 100g of the compound. This means that you have 40g of Carbon (C), 6.6g of Hydrogen (H), and 53.3g of Oxygen (O).
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Convert the mass of each element to moles. You can do this by dividing the mass of each element by its atomic mass. The atomic mass of C is approximately 12g/mol, H is approximately 1g/mol, and O is approximately 16g/mol.
So, you have:
- Carbon: 40g / 12g/mol = 3.33 mol
- Hydrogen: 6.6g / 1g/mol = 6.6 mol
- Oxygen: 53.3g / 16g/mol = 3.33 mol
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To find the empirical formula, you need to write the ratio of the moles of each element in the compound. In this case, the ratio is C: 3.33, H: 6.6, O: 3.33.
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To simplify this ratio, divide each number by the smallest number of moles calculated in step 2. In this case, the smallest number is 3.33.
So, you have:
- Carbon: 3.33 / 3.33 = 1
- Hydrogen: 6.6 / 3.33 = 2
- Oxygen: 3.33 / 3.33 = 1
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Therefore, the empirical formula of the compound is CH2O.
Solution 2
To calculate the empirical formula of a compound, follow these steps:
-
Assume that you have 100g of the compound. This means that you have 40g of Carbon (C), 6.6g of Hydrogen (H), and 53.3g of Oxygen (O).
-
Convert the mass of each element to moles. You do this by dividing the mass of each element by its atomic mass. The atomic mass of C is approximately 12g/mol, H is approximately 1g/mol, and O is approximately 16g/mol.
So, you have:
- Carbon: 40g / 12g/mol = 3.33 mol
- Hydrogen: 6.6g / 1g/mol = 6.6 mol
- Oxygen: 53.3g / 16g/mol = 3.33 mol
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Write the ratio of the moles of each element to the smallest number of moles calculated. In this case, the smallest number of moles is 3.33 mol.
So, you have:
- Carbon: 3.33 mol / 3.33 = 1
- Hydrogen: 6.6 mol / 3.33 = 2
- Oxygen: 3.33 mol / 3.33 = 1
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The empirical formula of the compound is therefore CH2O.
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