Year 13 · AQA & OCR A

Gibbs free energy and temperature

Change the temperature and watch ΔG move. The graph turns ΔG = ΔH − TΔS into three things you can read directly: the y-intercept is ΔH, the gradient is −ΔS, and the x-intercept is the crossover temperature.

Move along the ΔG–T line

Choose a reaction or one of the four sign combinations, then drag the temperature.

ΔG at this temperature
Forward reaction
y-interceptΔH
gradient−ΔS
crossover

Derive the four ΔH / ΔS sign combinations

Start from ΔG = ΔH − TΔS and ask what each term does as temperature rises.

ΔH − · ΔS +

ΔH is negative and −TΔS is also negative. ΔG stays negative at every positive temperature.

Feasible at all temperatures
ΔH − · ΔS −

ΔH starts negative, but −TΔS is positive and grows as temperature rises.

Feasible below the crossover
ΔH + · ΔS +

ΔH starts positive, but −TΔS is negative and grows in magnitude as temperature rises.

Feasible above the crossover
ΔH + · ΔS −

ΔH is positive and −TΔS is also positive. ΔG stays positive at every positive temperature.

Not feasible at any temperature

Read the graph, calculate the boundary and explain the range

0first-time correct0completed

Feasible is not the same as fast

ΔG tells you whether a change is thermodynamically feasible under the stated conditions. It says nothing about how high the activation-energy barrier is.

OCR A: this kinetic limitation is explicit specification content. A reaction can have a negative ΔG and still be too slow to observe without a suitable pathway or catalyst.