Franklin Bird
11/24/2023 · Primary School
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 9.6 mol of nitrogen and 9.3 mol of oxygen. Write the complete chemical formula for the unknown compound.
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Step-by-step Solution
To determine the complete chemical formula for the unknown compound, we need to find the ratio of nitrogen (N) to oxygen (O) in the sample.
Given:
- Moles of nitrogen (N) = 9.6 mol
- Moles of oxygen (O) = 9.3 mol
Next, we can find the simplest whole number ratio of nitrogen to oxygen by dividing both values by the smaller number of moles:
1. Divide the moles of nitrogen by the moles of oxygen:
\[
\frac{9.6}{9.3} \approx 1.032
\]
2. Divide the moles of oxygen by the moles of oxygen:
\[
\frac{9.3}{9.3} = 1
\]
Now we have a ratio of approximately 1.032:1 for nitrogen to oxygen. To express this as whole numbers, we can round 1.032 to 1 (since it is very close to 1) and keep the ratio as 1:1.
Thus, the ratio of nitrogen to oxygen is approximately 1:1, which suggests that the compound could be represented as \( \text{NO} \).
Therefore, the complete chemical formula for the unknown compound is:
\[
\text{NO}
\]
Quick Answer
The chemical formula for the unknown compound is NO.
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