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The concentration of ascorbic acid (MM = 176.124 g mol⁻¹) in solution A was determined by titration - HSC - SSCE Chemistry - Question 20 - 2024 - Paper 1

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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

Worked Solution & Example Answer:The concentration of ascorbic acid (MM = 176.124 g mol⁻¹) in solution A was determined by titration - HSC - SSCE Chemistry - Question 20 - 2024 - Paper 1

Step 1

Calculate moles of ascorbic acid added

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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

Calculate total titration volume for new solution

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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

Calculate moles of KOH used in titration

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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

Determine concentration of ascorbic acid in solution A

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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}

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