How does temperature affect the spontaneity of a reaction?

Answer 1

Spontaneity depends on the sign of #ΔG#.

Three scenarios are possible:

The value of #ΔG# depends on temperature:
#color(blue)(bar(ul(|color(white)(a/a)ΔG = ΔH - TΔScolor(white)(a/a)|)))" "#
Now, we have four possible situations, depending on the signs of #ΔH# and #ΔS#:
#bb(ΔHcolor(white)(m)ΔS color(white)(mmm)"High Temp."color(white)(mmmmmm)"Low Temp.")# #color(white)(l)+color(white)(ml)+ color(white)(m)ΔG -; "spontaneous"color(white)(mmm)ΔG +; "not spontaneous"# #color(white)(l)+color(white)(ml)- color(white)(m)ΔG +; "not spontaneous"color(white)(m)ΔG +; "not spontaneous"# #color(white)(l)-color(white)(ml)+ color(white)(m)ΔG -; "spontaneous"color(white)(mmm)ΔG -; "spontaneous"# #color(white)(l)-color(white)(ml)- color(white)(m)ΔG +; "not spontaneous"color(white)(m)ΔG -; "spontaneous"#
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Answer 2

Temperature influences reaction spontaneity by affecting the Gibbs free energy change. Higher temperatures generally favor spontaneity as they increase the likelihood of the reaction proceeding in the direction of lower Gibbs free energy.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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