## Relationship between K and G

$\Delta G^{\circ}= \Delta H^{\circ} - T \Delta S^{\circ}$

$\Delta G^{\circ}= -RT\ln K$

$\Delta G^{\circ}= \sum \Delta G_{f}^{\circ}(products) - \sum \Delta G_{f}^{\circ}(reactants)$

Christina Cen 2J
Posts: 53
Joined: Sat Jul 22, 2017 3:01 am

### Relationship between K and G

Why is it that when K<1, G is + and when K>1, G is -? I know that this is because of the equation G = -RTlnK, but what does it mean conceptually?

Sarah Rutzick 1L
Posts: 50
Joined: Tue Oct 10, 2017 7:13 am

### Re: Relationship between K and G

Why is it that when K<1, G is + and when K>1, G is -? I know that this is because of the equation G = -RTlnK, but what does it mean conceptually?
When K is less than 1, reactants are more favored in the reaction than products. Therefore, G is not spontaneous (positive) because spontaneous forward reactions favor products and occur naturally. So then when K is greater than 1, products are favored and G is spontaneous (negative).