Respuesta :
Answer: Option (d) is the correct answer.
Explanation:
It is given that mass of [tex]N_{2}O_{3}[/tex] is 137.0 g.
Molar mass of [tex]N_{2}O_{3}[/tex] is as follows.
Molar mass of [tex]N_{2}O_{3}[/tex] = 2 × 14 + 3 × 16
= 76 g
Thus, number of moles will be calculated as follows.
No. of moles = [tex]\frac{mass}{molar mass}[/tex]
= [tex]\frac{137.0 g}{76 g/mol}[/tex]
= 1.803 mol
There are 2 nitrogen (N) atoms present in the formula of dinitrogen trioxide. Also Avogadro's number equals [tex]6.022 \times 10^{23}[/tex] atoms or molecules per mol.
Therefore, number of N molecules or atoms in [tex]N_{2}O_{3}[/tex] is as follows.
Number of N atoms = [tex]2 \times 1.803 mol \times 6.022 \times 10^{23} atoms/mol[/tex]
= [tex]2 \times 10.855 \times 10^{23}[/tex] atoms
= [tex]2.171 \times 10^{24}[/tex] atoms
Thus, we can conclude that there are [tex]2.171 \times 10^{24}[/tex] atoms of N in in 137.0 grams of [tex]N_{2}O_{3}[/tex].