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Ch.16 - Acids and Bases
Chapter 16, Problem 84

Determine the pH of a solution that is 1.55% NaOH by mass. Assume that the solution has a density of 1.01 g/mL.

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<Calculate the mass of NaOH in 100 g of solution: Since the solution is 1.55% NaOH by mass, there are 1.55 g of NaOH in 100 g of solution.>
<Determine the volume of the solution: Use the density to find the volume. Since the density is 1.01 g/mL, the volume of 100 g of solution is 100 g / 1.01 g/mL.>
<Calculate the molarity of the NaOH solution: First, find the number of moles of NaOH using its molar mass (approximately 40.00 g/mol). Then, divide the moles of NaOH by the volume of the solution in liters to find the molarity.>
<Determine the concentration of OH⁻ ions: Since NaOH is a strong base, it dissociates completely in water. Therefore, the concentration of OH⁻ ions is equal to the molarity of the NaOH solution.>
<Calculate the pH of the solution: Use the concentration of OH⁻ ions to find the pOH of the solution. Then, use the relationship pH + pOH = 14 to find the pH.>