Final answer:
To find the empirical formula of compound Q with a given composition of 50.7% carbon, 7.1% hydrogen, and 19.7% nitrogen, we convert the percentages to grams, then to moles, and find the simplest whole number ratio, which results in the empirical formula C3H5N.
Step-by-step explanation:
To determine the empirical formula of compound Q, which contains 50.7% carbon, 7.1% hydrogen, and 19.7% nitrogen, we start by assuming we have a 100 g sample of the compound. This makes calculations simple as the percentages can be directly converted to grams.
- Carbon (C): 50.7 g
- Hydrogen (H): 7.1 g
- Nitrogen (N): 19.7 g
Next, we convert these masses to moles by using the atomic masses of carbon (12.01 g/mol), hydrogen (1.008 g/mol), and nitrogen (14.01 g/mol).
- Carbon: 50.7 g / 12.01 g/mol = 4.22 mol
- Hydrogen: 7.1 g / 1.008 g/mol = 7.04 mol
- Nitrogen: 19.7 g / 14.01 g/mol = 1.41 mol
These molar amounts are then divided by the smallest among them to find the simplest whole-number ratio:
- Carbon: 4.22 mol / 1.41 mol = 3
- Hygen: 7.04 mol / 1.41 mol = 5
- Nitrogen: 1.41 mol / 1.41 mol = 1
The empirical formula for compound Q is therefore C3H5N.