Confusion on different versions of the Van't Hoff equation?
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Confusion on different versions of the Van't Hoff equation?
The textbook has the Van't Hoff equation as lnK2/K1= delta H/R + {1/T1-1/T2}, while the version we talked about in class has lnK2/K1=-delta H/R + {1/T2-1/T1}. Aside from the delta H factor being negative, and the T's being switched, which are the two differences, which version should we be using in our calculations? Do they produce the same answer?
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Re: Confusion on different versions of the Van't Hoff equation?
That is just two ways of writing the same equation. They may look different, but the negative sign is just on different sides of the equation. You can use properties of logs to see why the k2/k1 becomes k1/k2.
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Re: Confusion on different versions of the Van't Hoff equation?
Refers to calculating K at different temperatures
At T1: lnK1 = -(deltaH/RT1) + (deltaS/R)
At T2: ln K2 = -(deltaH/RT2) + (deltaS/R)
leading to
lnK2 - lnK1 = ln(K2/K1) = -(deltaH/R)(1/T2 - 1/T1)
just factoring the negative into the temperature will switch the two
At T1: lnK1 = -(deltaH/RT1) + (deltaS/R)
At T2: ln K2 = -(deltaH/RT2) + (deltaS/R)
leading to
lnK2 - lnK1 = ln(K2/K1) = -(deltaH/R)(1/T2 - 1/T1)
just factoring the negative into the temperature will switch the two
Last edited by Kyle Alves 3K on Tue Mar 13, 2018 10:18 pm, edited 1 time in total.
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Re: Confusion on different versions of the Van't Hoff equation?
You can use either version of the equation. It was discussed in class that scientists just prefer not having negative signs in their equations if they can avoid it, so they sometimes reframe the equation to that end. However, both are perfectly fine as long as you keep your k and T values consistent.
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Re: Confusion on different versions of the Van't Hoff equation?
Both equations will give you the same answer, and you can derive the equation we use from the one in the book. We use the one that we do because it's simpler, so you should be fine using the one Lavelle taught us
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