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Multiple Choice
What mass of KNO2 must be added to create 200.0 mL of a buffer solution with a pH of 3.00 and an HNO2 concentration of 0.150 M? The pKₐ of nitrous acid is 3.34.
A
0.024 g
B
0.012 g
C
0.096 g
D
0.048 g
Verified step by step guidance
1
First, understand that a buffer solution consists of a weak acid and its conjugate base. In this case, HNO2 is the weak acid and KNO2 provides the conjugate base NO2⁻.
Use the Henderson-Hasselbalch equation to relate the pH of the buffer solution to the concentrations of the acid and its conjugate base: , where is the acid dissociation constant, is the concentration of the acid, and is the concentration of the conjugate base.
Rearrange the Henderson-Hasselbalch equation to solve for the concentration of the conjugate base NO2⁻: .
Substitute the given values into the equation: . Calculate the concentration of NO2⁻.
Convert the concentration of NO2⁻ to mass using the molar mass of KNO2. First, calculate the moles of NO2⁻ in 200.0 mL of solution, then use the molar mass of KNO2 to find the mass: .