Garza Mcdonald
03/16/2024 · Elementary School

Finding chemical formulae from a mole ratio An unknown compound has the following chemical formula: where \( x \) stands for a whole number. Measurements also show that a certain sample of the unknown compound contains 5.4 mol of nitrogen and 10.84 mol of oxygen. Write the complete chemical formula for the unknown compound.

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To determine the complete chemical formula for the unknown compound, we need to find the mole ratio of nitrogen (N) to oxygen (O) in the sample. Given: - Moles of nitrogen (N) = 5.4 mol - Moles of oxygen (O) = 10.84 mol Next, we can find the ratio of nitrogen to oxygen by dividing both values by the smaller number of moles, which is 5.4 mol: 1. Calculate the ratio for nitrogen: \[ \text{Ratio of N} = \frac{5.4 \, \text{mol}}{5.4 \, \text{mol}} = 1 \] 2. Calculate the ratio for oxygen: \[ \text{Ratio of O} = \frac{10.84 \, \text{mol}}{5.4 \, \text{mol}} \approx 2.009 \] Since we are looking for whole number ratios, we can round 2.009 to the nearest whole number, which is 2. Thus, the mole ratio of nitrogen to oxygen is approximately 1:2. This means the chemical formula for the unknown compound can be written as: \[ \text{N}_1\text{O}_2 \quad \text{or simply} \quad \text{NO}_2 \] Therefore, the complete chemical formula for the unknown compound is: \[ \text{NO}_2 \]

Quick Answer

The chemical formula for the unknown compound is NO₂.
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