Calculating K_a from ΔE° for HBrO Reaction

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To calculate the K_a value for the HBrO reaction using ΔE° values, the equation ΔE° = -RT ln K_a can be rearranged to K_a = e^(-ΔE°/RT). The discussion highlights the importance of knowing the ion product of water, K_w = 10^-14, in the context of acid-base reactions. Participants suggest using the given ΔE° to solve for K_a, emphasizing the relationship between thermodynamics and equilibrium constants. The method outlined is straightforward for determining the acid dissociation constant from electrochemical data. Understanding these calculations is essential for accurately assessing the strength of acids like HBrO.
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Using \Delta \textrm{E}^{\circ} values and the fact that \textrm{K}_{\textrm{w}}=10^{-14}, how would I find the \textrm{K}_{\textrm{a}} value for the following reaction?:

\textrm{HBrO}\longrightarrow\textrm{H}^{+}+\textrm{BrO}^{-}​
 
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dEº = -RTlnK

Dunno if that helps :/.
 
Noobler sounds right.
Rearrange to give:
\frac{\Delta E}{-RT}=ln K_{a}
and solve for K_{a]
 
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