With the initial concentrations: [A] = 0.000500 M, = 0.000698 M,

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To find the equilibrium constant K for the reaction with initial concentrations of [A] = 0.000500 M and [B] = 0.000698 M, and [C] = 0.0000866 M at equilibrium, the formula K = [C]/([A]*[B]) is used. The calculated value of K is reported as 344, but there is uncertainty about its accuracy. Participants emphasize the need for additional information about the reaction to provide a definitive answer. Without clarity on the reaction specifics, determining K accurately is challenging. Accurate calculations depend on knowing the reaction and the changes in concentrations throughout the process.
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with the initial concentrations: [A] = 0.000500 M, = 0.000698 M,

with the initial concentrations: [A] = 0.000500 M, = 0.000698 M, and [C] = 0 M, find the value of K if [C] = 0.0000866 M at equilibrium.

K = [C]/([A]*)

just want to check my answer of 344, seems wrong to me
 
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You are asking us too much - to guess what the reaction is, work it out, if not agreement make another guess, ... Without that information and your working you will probably not get an answer.
 
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