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Multiple Choice
15.3 grams of sodium benzoate is dissolved in 250 mL of water. What is the pH of the resultant solution if the Kb of benzoate ion is 1.5 x 10^-10?
A
9.20
B
6.50
C
7.00
D
8.10
Verified step by step guidance
1
Calculate the molar mass of sodium benzoate (C7H5NaO2) by adding the atomic masses of its constituent elements: C (12.01 g/mol), H (1.01 g/mol), Na (22.99 g/mol), and O (16.00 g/mol).
Determine the number of moles of sodium benzoate by dividing the given mass (15.3 grams) by its molar mass.
Calculate the concentration of sodium benzoate in the solution by dividing the number of moles by the volume of the solution in liters (0.250 L).
Write the equilibrium expression for the hydrolysis of the benzoate ion (C6H5COO-) in water, which forms benzoic acid (C6H5COOH) and hydroxide ions (OH-). Use the given Kb value to set up the expression: Kb = [C6H5COOH][OH-] / [C6H5COO-].
Assume that the change in concentration of benzoate ion is small compared to its initial concentration, and solve for [OH-] using the Kb expression. Then, calculate the pOH of the solution and use the relation pH + pOH = 14 to find the pH.