Sagot :
SOLUTION:
Step 1: Calculate the molar mass of nitrogen gas (N₂).
The molar mass of N is 14.01 g.
[tex]\begin{aligned} \text{molar mass} & = \text{2(14.01 g)} \\ & = \text{28.02 g} \end{aligned}[/tex]
Step 2: Calculate the mass of nitrogen gas by using dimensional analysis.
[tex]\begin{aligned} \text{mass of} \: \text{N}_2 & = 9.72 \times 10^{21} \: \text{molecules} \: \text{N}_2 \times \frac{\text{1 mol} \: \text{N}_2}{6.022 \times 10^{23} \: \text{molecules} \: \text{N}_2} \times \frac{\text{28.02 g} \: \text{N}_2}{\text{1 mol} \: \text{N}_2} \\ & = \boxed{\text{0.452 g}} \end{aligned}[/tex]
Hence, there are 0.452 g of nitrogen gas inhaled.
[tex]\\[/tex]
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