Combining Reactions (delta K)
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Combining Reactions (delta K)
When combining reactions for delta k, and multiplying it by a factor, why do we raise it to a power, versus when we combine reaction and their enthalpies, we multiply the enthalpy by the same factor?
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Re: Combining Reactions (delta K)
When combining reactions, equilibrium constants for individual reactions are multipled. When a reaction is reversed the value of k1=1/k. When a reaction is multiplied by a factor n, k2= k^n
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Re: Combining Reactions (delta K)
The equilibrium constant for a reaction is defined as the ratio of the product of the concentrations of the products raised to their stoichiometric coefficients to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, when combining reactions to obtain the overall equilibrium constant, we need to ensure that the stoichiometric coefficients are balanced on both the reactant and product sides.
When we multiply the reactions by a factor, we effectively change the stoichiometric coefficients of the reactions. To account for this change, we raise the equilibrium constant to the power of the factor to ensure that the overall stoichiometry of the reaction is maintained.
On the other hand, when we combine the enthalpies of reactions, we are interested in the overall change in enthalpy for the reaction. Enthalpy is an extensive property, which means that the enthalpy change is proportional to the amount of reactants and products involved in the reaction. Therefore, when we multiply the reaction by a factor, the enthalpy change is also multiplied by the same factor.
When we multiply the reactions by a factor, we effectively change the stoichiometric coefficients of the reactions. To account for this change, we raise the equilibrium constant to the power of the factor to ensure that the overall stoichiometry of the reaction is maintained.
On the other hand, when we combine the enthalpies of reactions, we are interested in the overall change in enthalpy for the reaction. Enthalpy is an extensive property, which means that the enthalpy change is proportional to the amount of reactants and products involved in the reaction. Therefore, when we multiply the reaction by a factor, the enthalpy change is also multiplied by the same factor.
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