Gibbs free energy equation

[victorias]

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I am trying to think of this equation in terms of graphs: G knot = -RT lnkeq

What kind of graphing relationship exists between G knot and keq? How would you plot it?

 

[theonlytycrane]

Keq = [products] / [reactants] at equilibrium concentrations.

If [products] > [reactants], ln(Keq) > 0 so the forward direction is favorable since deltaG < 0.

If [reactants] > [products], ln(Keq) < 0 so the forward direction is unfavorable since deltaG > 0.

 

[victorias]

What would a plot of delta G versus ln keq look like? I am still having trouble drawing it out.

 

[aldol16]

It looks like any other y=-lnx graph. It's a monotonously decreasing function that crosses the x-axis at x=1. http://www.wolframalpha.com/input/?i=y=-lnx

 

[aldol16]

What would a plot of delta G versus ln keq look like? I am still having trouble drawing it out.

Delta G vs. lnKeq would be a straight line with a slope of RT and an intercept of RTlnQ for a given Q.

 

[victorias]

Is this correct?

 

[aldol16]

Yes.