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Using leChatelier's principle, when the temperature is changed, depending on whether the reaction is endothermic or exothermic, the reaction will favor either the reactants or the products. We use the equation -deltaH/R(1/T2 - 1/T1) = ln(K2/K1) to find what the new K is when the temperature is changed.
In addition, in order to use the equation stated above, you must assume that delta H and delta S are constant. This equation allows us to determine K at different temperatures is these values (delta H and delta S) are known.
A temperature change pushes the reaction to either the left or right depending on whether heat is a reactant or product (depending on whether the rxn is exo or endothermic). This gives the reaction a new equilibrium point, so k changes.
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