Answer: The correct statement is low temperature only, because entropy decreases during freezing.
Explanation:
It is given that freezing of methane is an exothermic reaction.
The equation for Gibb's free energy is given by the relation:
[tex]\Delta G=\Delta H-T\Delta S[/tex]
Where,
[tex]\Delta G[/tex] = change in Gibb's free energy
[tex]\Delta H[/tex] = change in enthalpy
T = temperature
[tex]\Delta S[/tex] = change in entropy
As, methane is freezing, this means that [tex]Delta S[/tex] is decreasing and its sign is negative. This reaction is an exothermic reaction, which means that the [tex]\Delta H[/tex] is also negative.
[tex]-ve=-ve-[T(-ve)]\\\\-ve=-ve+T[/tex]
So, for the reaction to be spontaneous [tex](\Delta G=-ve)[/tex], the temperature must be low.
Hence, the correct statement is low temperature only, because entropy decreases during freezing.