Sure, let's go through the calculations step-by-step:
1. Determine the mass of each element in the sample:
- Hydrogen (H) has a mass of 1.01 grams.
- Nitrogen (N) has a mass of 14.01 grams.
- Oxygen (O) has a mass of 48.00 grams.
2. Calculate the total mass of the sample:
The total mass of the sample is the sum of the masses of hydrogen, nitrogen, and oxygen.
[tex]\[
\text{Total mass} = \text{mass of H} + \text{mass of N} + \text{mass of O}
\][/tex]
[tex]\[
\text{Total mass} = 1.01 \, \text{g} + 14.01 \, \text{g} + 48.00 \, \text{g}
\][/tex]
[tex]\[
\text{Total mass} = 63.02 \, \text{grams}
\][/tex]
3. Calculate the percent composition of Nitrogen (N):
The percent composition of an element in a compound is given by the formula:
[tex]\[
\text{Percent Composition of N} = \left( \frac{\text{mass of N}}{\text{total mass of the sample}} \right) \times 100\%
\][/tex]
Substituting the known values:
[tex]\[
\text{Percent Composition of N} = \left( \frac{14.01 \, \text{grams}}{63.02 \, \text{grams}} \right) \times 100\%
\][/tex]
4. Calculate the value:
[tex]\[
\text{Percent Composition of N} = 0.2223103776578864 \times 100\%
\][/tex]
[tex]\[
\text{Percent Composition of N} = 22.23\%
\][/tex]
Therefore, the percent composition of nitrogen (N) in the sample is approximately 22.23%.
