The given word equation is:
Nitrogen trifluoride-->Nitrogen + Fluorine
The chemical formula of nitrogen trifluoride is [tex]NF_{3}[/tex] and that of nitrogen gas is [tex]N_{2}[/tex]and fluorine gas is [tex]F_{2}[/tex].
The balanced chemical equation representing the decomposition reaction of nitrogen trifluoride to nitrogen and fluorine will be,
[tex]2NF_{3}-->N_{2}+3F_{2}[/tex]
The chemical formula of fluorine gas will be [tex]F_{2}[/tex] as fluorine exists as a diatomic gas in it's pure state. The coefficient of fluorine will be 3
Therefore, the correct answer is a) 3F2