Answer: Option (A) is the correct answer.
Explanation:
According to the Gibb's free energy conditions:
If [tex]\Delta G[/tex] < 0, then reaction is spontaneous.
If [tex]\Delta G[/tex] > 0, then reaction is non-spontaneous.
If [tex]\Delta G[/tex] = 0, then reaction is equilibrium.
Since, the given reaction is [tex]F_{2}(l) \rightarrow F_{2}(g)[/tex]. It denotes that liquid state of fluorine is changing into gaseous state. And, the boiling point of fluorine is very low.
Therefore, at low and high temperature fluorine is a gas. Hence, the reaction is spontaneous in nature.
Thus, we can conclude that the statement at low temperature, the reaction is spontaneous and [tex]\Delta G[/tex] < 0 and at high temperature, the reaction is spontaneous and [tex]\Delta G[/tex] < 0, is correct.