I am extremely confused here. Originally, the Gibbs Helmholtz equation says that the change in quantity ΔG/T with temperature is equal to - ΔH/T^2. I understand this is the original form of Gibbs Helmholtz relationship. But in your thumb nail, it is given the quantity ΔG changes with T and not ΔG/T and the same relationship holds. I know for a fact that the equation in thumbnail is also correct because I read it in a textbook. Can you please help me understand, how?
The first equation in the thumbnail is G≡H-T*S, and 'G' (just G itself) would be proportional to T only if H and S are constant, which they aren't. If we use that equation to get ΔG=ΔH-TΔS, then this equation is true for a constant temperature process (T doesn't change). ΔG=ΔH-TΔS doesn't imply that ΔG is proportional to T because ΔH and ΔS may change as temperature changes. Does that help? We may need a longer discussion to tease things out.
@brainynerdtutor1626 Thank you for the quick reply. I understand that part. But if you check your thumbnail, you have mentioned an equation given by d(ΔG)/dT and not d(ΔG/T)/dT. Which among the two is right?
💪 Make sure to check out this super short derivation AND exam problem of the Gibbs-Helmholtz Equation: th-cam.com/video/Y_xaSNK19x4/w-d-xo.html
thank you so much you helped me so much , very clear.
I am extremely confused here. Originally, the Gibbs Helmholtz equation says that the change in quantity ΔG/T with temperature is equal to - ΔH/T^2. I understand this is the original form of Gibbs Helmholtz relationship. But in your thumb nail, it is given the quantity ΔG changes with T and not ΔG/T and the same relationship holds. I know for a fact that the equation in thumbnail is also correct because I read it in a textbook. Can you please help me understand, how?
The first equation in the thumbnail is G≡H-T*S, and 'G' (just G itself) would be proportional to T only if H and S are constant, which they aren't. If we use that equation to get ΔG=ΔH-TΔS, then this equation is true for a constant temperature process (T doesn't change).
ΔG=ΔH-TΔS doesn't imply that ΔG is proportional to T because ΔH and ΔS may change as temperature changes. Does that help? We may need a longer discussion to tease things out.
@brainynerdtutor1626 Thank you for the quick reply. I understand that part. But if you check your thumbnail, you have mentioned an equation given by
d(ΔG)/dT and not d(ΔG/T)/dT. Which among the two is right?
@@arjunsankar3887 Ah, I see. Thanks for pointing it out! I updated the thumbnail. Sorry for the confusion.
That was great👍🏻 ❤️
👍👍