Find the concentration of sodium acetate when added to 0.1 M solution of acetic acid to form a buffer solution of pH =5.5 ? ( pK _ a of CH ₃ COOH =4 5 )

Step-by-step solution

The Henderson-Hasselbalch equation provides the relationship between pH and buffer component concentrations: pH = pK_a + [ CH₃COONa ] [ CH₃COOH ] Substituting the given values pH = 5.5 , pK_a = 4.5 , and [ CH₃COOH ] = 0.1 , M yields: 5.5 = 4.5 + [ CH₃COONa ] 0.1 Simplifying gives: 1.0 = [ CH₃COONa ] 0.1 Taking the antilogarithm of both sides produces: 10^ 1.0 = [ CH₃COONa ] 0.1 Solving for the unknown concentration: [ CH₃COONa ] = 10 0.1 = 1.0 , M Final answer: 1.0 , M