To find the molar mass of dinitrogen trioxide ([tex]\( N_2O_3 \)[/tex]), we need to follow these steps:
1. Identify the atomic masses:
- Nitrogen ([tex]\( N \)[/tex]) has an atomic mass of approximately [tex]\( 14.01 \)[/tex] grams per mole.
- Oxygen ([tex]\( O \)[/tex]) has an atomic mass of approximately [tex]\( 16.00 \)[/tex] grams per mole.
2. Determine the number of each type of atom in the molecule:
- Dinitrogen trioxide ([tex]\( N_2O_3 \)[/tex]) contains 2 nitrogen atoms and 3 oxygen atoms.
3. Calculate the total mass contributed by each type of atom:
- For nitrogen: [tex]\( 2 \times 14.01 g/mol = 28.02 g/mol \)[/tex]
- For oxygen: [tex]\( 3 \times 16.00 g/mol = 48.00 g/mol \)[/tex]
4. Sum the masses to find the molar mass of [tex]\( N_2O_3 \)[/tex]:
- Total molar mass = [tex]\( 28.02 g/mol + 48.00 g/mol = 76.02 g/mol \)[/tex]
Therefore, the molar mass of dinitrogen trioxide ([tex]\( N_2O_3 \)[/tex]) is [tex]\( 76.02 \)[/tex] grams per mole.
The correct answer is [tex]\( \boxed{76.02 \, g/mol} \)[/tex].
