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You use the Van't Hoff equation to find a different K at a different temperature if the enthalpy of a reaction is known. Using the equation, you plug in all the values you are given (K1, H, T1 and T2) to find K2. Or you can be given K2 instead of T2 and use the equation to find T2.
You use the Van 't Hoff equation why you are asked to relate the change in the equilibrium constant, K, of a chemical reaction to the change in temperature, T. The question will likely give you the standard enthalpy change, ΔH, and ask for K, or vice versa.
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