Van't Hoff Temperature Dependence

[Andrew F 2L]

Can someone explain to me why we are taking the natural log of Temperature in Van't Hoff's equation? I'm confused as to what the equation also is trying to convey also because I was confused about the in class example. Thank you!

[Philomena 4F]

He mentioned in lecture that you apply this equation to calculate K at different temperatures if deltaH is given.
He broke down the equation to the ln(K2/K1) = -deltaH/R (1/T2 - 1/T1) with the assumption that deltaH is constant.

[sarahforman_Dis2I]

Can someone explain to me why we are taking the natural log of Temperature in Van't Hoff's equation? I'm confused as to what the equation also is trying to convey also because I was confused about the in class example. Thank you!

The reason you take ln(K) is because you are assuming that the reaction is at equilibrium, meaning delta G is equal to zero.

You have the two equations ∆G= ∆Gnot +RTln(Q) and ∆Gnot=∆Hnot-T∆S
At equilibrium, Q=K and ∆G=0
You can then solve for ∆Gnot and set the two equations equal to each other. This is what gives you the ln(k) in the equation. I hope that this helps!

[Marni Kahn 1A]

You have the natural log in the equation already given ∆G=∆G°+RTlnQ, and then ∆G°=-RTlnK at equilibrium(∆G=0 at equilibrium)

[Emily Burghart 1k]

What equation do you use if you are not sure if the equation has a equal to 0?

Is there a way to check that is 0 if it is not explicitly stated in the problem?

What happens if you use the equation for a reaction that is not at equilibrium?