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What is the molar mass of dinitrogen trioxide, [tex]N_2O_3[/tex]?

A. [tex]62.01 \, g/mol[/tex]
B. [tex]30.01 \, g/mol[/tex]
C. [tex]76.02 \, g/mol[/tex]
D. [tex]126.4 \, g/mol[/tex]

Sagot :

GinnyAnsweridn
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].
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