Photo AI
Question 20
The concentration of ascorbic acid (MM = 176.124 g mol⁻¹) in solution A was determined by titration. A 25.00 mL sample of solution A was titrated with potassium hyd... show full transcript
Step 1
Answer
The mass of ascorbic acid added is 50.00 mg. To find the moles, we convert mass to grams:
[ 50.00 , \text{mg} = 0.05000 , \text{g} ]
Using the molar mass (MM = 176.124 g mol⁻¹), we calculate the moles:
[ \text{moles of ascorbic acid} = \frac{0.05000 , \text{g}}{176.124 , \text{g mol}^{-1}} \approx 2.84 \times 10^{-4} , \text{mol} ]
Step 2
Answer
The total titration volume for the solution with added ascorbic acid is 33.10 mL. The volume for the original solution (without the ascorbic acid) is 17.50 mL. Thus, the change in volume due to added ascorbic acid is:
[ \Delta V = 33.10 , \text{mL} - 17.50 , \text{mL} = 15.60 , \text{mL} ]
Step 3
Answer
The moles of KOH used corresponds directly to the moles of ascorbic acid since they react in a 1:1 ratio. Thus, for the volume change of 15.60 mL:
[ \text{moles of KOH} = \Delta V \times \text{C}_{KOH} \quad \text{(where C is concentration of KOH)} ]
We express moles based on the titration volumes. Assuming we find the concentration of KOH from back calculations:
[C_{KOH} = \frac{\text{moles of KOH}}{0.0175 , \text{L}}]
Step 4
Answer
The total moles of ascorbic acid in the original 25.00 mL sample are equal to the moles from the KOH titration, linked back to the change:
[ C_{ascorbicAcid} = \frac{2.84 \times 10^{-4} , \text{mol}}{0.025 , \text{L}} \approx 1.136 \times 10^{-2} , \text{mol L}^{-1} ]
Matching with the options, the correct concentration of ascorbic acid in solution A is:
D. 1.274 \times 10^{−2} , \text{mol L}^{−1}
Report Improved Results
Recommend to friends
Students Supported
Questions answered