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You use the Van't Hoff equation when trying to find K, an equilibrium constant, at a different temperature. Delta H at standard temperature and pressure must be known in order to use this equation, but this equation allows us to see temperature dependence of K.
This is used to display the temperature dependence of K, so it is used when calculating K at different temperatures and can even be used when the question is asking for what the pH is at different temp when given an initial K value. I don't think this is derived for us on the constant sheet so it's good to understand.
This equation also allows us to compare two K values K1 and K2 and observe how the change in temperature either increases or decreases K. The equation for comparing is: ln (k2/k1) = -(delta*H)/R * (1/T1 - 1/T2) . However, as stated above, the Van't Hoff Equation's purpose is to show the temperature dependence of K.
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