While I agree with
@jazz519's reasoning, I think the conclusion drawn in an answer regarding spontaneity depends on perspective.
If you take the view that a reaction is spontaneous if
and non-spontaneous if
, then you might answer that:
- as temperature increases, the value of will increase as and
- as , there must be a critical temperature at which
- the reaction will be spontaneous so long as , and will be non-spontaneous when
An example of this perspective is to consider the freezing of water, H
2O(l) ---> H
2O(s), which is exothermic (
) and entropically disfavoured (
), like the above example. For pure water under standard conditions, freezing is spontaneous at any temperature below 0
oC and non-spontaneous (i.e. the reverse process, melting, is spontaneous) at any temperature above 0
oC. Is it really meaningful to say that water freezes "more spontaneously" at (say) -5
oC than at -4
oC, or that spontaneity is greater?
Certainly, there are books / teachers / chemists who use language like "greater spontaneity" to mean that an already-negative
is decreasing,. Describing this as a
becoming "more negative" is linguistically debatable, as is the view of spontaneity as a relative concept that can be present in greater or lesser amounts, rather than as an absolute that is either present or absent under a given set of conditions. I favour the latter perspective and so would not say that " the deltaG is becoming more positive" when I mean that
is negative but increasing towards zero as temperature increases because I don't see why -5 kJ mol
-1 is "more positive" than -10 kJ mol
-1.
I would answer:
As temperature increases, Gibbs Free Energy increases but the reaction remains spontaneous until the temperature passes the threshold at which
becomes positive, where the reaction becomes non-spontaneous. We are told that the reaction is exothermic (
) and that the reaction proceeds (thus,
), but the reaction is entropically disfavoured (
) as order increases when two species combine to form one in the same state. Since
, increasing temperatures will increase the value of the positive term (
) and so cause
to increase from its initial negative value, ultimately to become positive at some critical temperature, at which point the reaction ceases to be spontaneous.