To determine the molar mass of \( NH_3 \), follow these steps:
1. Identify the elements and their atomic masses:
- Hydrogen (\(H\)): \(1.01 \, \text{g/mol}\)
- Nitrogen (\(N\)): \(14.01 \, \text{g/mol}\)
2. Identify the number of each type of atom in the molecule:
- In one molecule of \( NH_3 \), there is:
- 1 Nitrogen atom
- 3 Hydrogen atoms
3. Calculate the total mass contributed by each element:
- For Hydrogen: Multiply the atomic mass of hydrogen by the number of hydrogen atoms in the molecule.
[tex]\[
\text{Total mass of Hydrogen} = 3 \times 1.01 \, \text{g/mol} = 3.03 \, \text{g/mol}
\][/tex]
- For Nitrogen: Multiply the atomic mass of nitrogen by the number of nitrogen atoms in the molecule.
[tex]\[
\text{Total mass of Nitrogen} = 1 \times 14.01 \, \text{g/mol} = 14.01 \, \text{g/mol}
\][/tex]
4. Add the masses contributed by each element to find the total molar mass of \( NH_3 \):
[tex]\[
\text{Molar mass of } NH_3 = \text{Total mass of Hydrogen} + \text{Total mass of Nitrogen}
\][/tex]
[tex]\[
\text{Molar mass of } NH_3 = 3.03 \, \text{g/mol} + 14.01 \, \text{g/mol}
\][/tex]
[tex]\[
\text{Molar mass of } NH_3 = 17.04 \, \text{g/mol}
\][/tex]
Therefore, the molar mass of [tex]\( NH_3 \)[/tex] is [tex]\( 17.04 \, \text{g/mol} \)[/tex].
