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Multiple Choice
Consider the titration of 60.0 mL of 0.200 M H3PO3 solution with 0.350 M potassium hydroxide, KOH solution. How many milliliters of base would be required to reach each of its equivalence points?
A
First:34.3 mL, Second:34.3 mL, Third:34.3 mL
B
First:34.3 mL, Second:68.6 mL, Third:102.9 mL
C
First:34.3 mL, Second:68.6 mL, Third:137.2 mL
D
First:105 mL, Second:210 mL, Third:315 mL
Verified step by step guidance
1
Identify the chemical reaction involved in the titration. Phosphorous acid (H3PO3) is a diprotic acid, meaning it can donate two protons (H+ ions). The reaction with potassium hydroxide (KOH) can be represented as: H3PO3 + 2KOH → K2HPO3 + 2H2O.
Calculate the moles of H3PO3 present in the solution. Use the formula: moles = concentration (M) × volume (L). Convert the volume from mL to L by dividing by 1000.
Determine the stoichiometry of the reaction. Since H3PO3 is diprotic, it will react with KOH in a 1:2 ratio. This means that for every mole of H3PO3, two moles of KOH are required to reach the first equivalence point.
Calculate the volume of KOH needed to reach the first equivalence point. Use the formula: volume (L) = moles of KOH / concentration of KOH (M). Convert the volume from L to mL by multiplying by 1000.
For the second equivalence point, consider that the first equivalence point has been reached and additional KOH is needed to react with the remaining acidic hydrogen. Calculate the additional volume of KOH required using the same stoichiometry and method as before, and add it to the volume calculated for the first equivalence point.