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A 0.25 mol/L solution of ethanoic acid (CH3COOH) is mixed with a 0.40 mol/L solution of sodium acetate (CH3COONa). The equilibrium constant for the reaction CH3COOH + NaCH3COO ⇌ CH3COONa + H2O is 1.8 x 10^-5. What is the concentration of CH3COONa at equilibrium?

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First, we need to recognize that the reaction is actually a buffer system with the following equilibrium reaction:CH3COOH  acetic acid  + H2O  CH3COO-  acetate ion  + H3O+  hydronium ion The equilibrium constant for this reaction is Ka, the acid dissociation constant, which is given as 1.8 x 10^-5.To find the concentration of CH3COONa  sodium acetate  at equilibrium, we can use the Henderson-Hasselbalch equation:pH = pKa + log  [A-]/[HA] where pH is the negative logarithm of the H3O+ concentration, pKa is the negative logarithm of Ka, [A-] is the concentration of the conjugate base  acetate ion , and [HA] is the concentration of the weak acid  acetic acid .First, we need to find the pKa:pKa = -log Ka  = -log 1.8 x 10^-5  = 4.74Next, we need to find the initial concentrations of acetic acid and acetate ion. Since sodium acetate dissociates completely in water, the initial concentration of acetate ion is 0.40 mol/L. The initial concentration of acetic acid is 0.25 mol/L.Now we can use the Henderson-Hasselbalch equation to find the pH of the solution:pH = 4.74 + log  [0.40]/[0.25]  = 4.74 + log  1.6   4.94Since the pH is less than 7, the solution is acidic, and there will be some dissociation of acetic acid. However, because the solution is a buffer, the concentrations of acetic acid and acetate ion will not change significantly. Therefore, the concentration of CH3COONa  sodium acetate  at equilibrium will still be approximately 0.40 mol/L.

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