The amount of ascorbic acid (vitamin C; C6H8O6) in tablets

Chapter 4, Problem 97P

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QUESTION:

The amount of ascorbic acid (vitamin \(\mathrm{C}, \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\)) in tablets is determined by reaction with bromine and then titration of the hydrobromic acid with standard base:

\(\mathrm{C}_{8} \mathrm{H}_{8} \mathrm{O}_{6}+\mathrm{Br}_{2} \rightarrow \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{8}+2 \mathrm{HBr}\)

\(\mathrm{HBr}+\mathrm{NaOH} \rightarrow \mathrm{NaBr}+\mathrm{H}_{2} \mathrm{O}\)

A certain tablet is advertised as containing \(500 mg\) of vitamin C. One tablet was dissolved in water and reacted with \(\mathrm{Br}_{2}\). The solution was then titrated with \(43.20 mL\) of \(0.1350 \mathrm{M} \ \mathrm{NaOH}\). Did the tablet contain the advertised quantity of vitamin C?

Equation Transcription:

C, C6H8O6

C6H8O6 + Br2  C6H6O6 + 2HBr

HBr + NaOH  NaBr + H2O

Br2

Text Transcription:

C, C_6H_8O_6

C_6H_8O_6 + Br_2 rightarrow C_6H_6O_6 + 2HBr

HBr + NaOH rightarrow NaBr + H_2O

500 mg

Br_2

43.20 mL

0.1350 M NaOH

Questions & Answers

QUESTION:

The amount of ascorbic acid (vitamin \(\mathrm{C}, \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\)) in tablets is determined by reaction with bromine and then titration of the hydrobromic acid with standard base:

\(\mathrm{C}_{8} \mathrm{H}_{8} \mathrm{O}_{6}+\mathrm{Br}_{2} \rightarrow \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{8}+2 \mathrm{HBr}\)

\(\mathrm{HBr}+\mathrm{NaOH} \rightarrow \mathrm{NaBr}+\mathrm{H}_{2} \mathrm{O}\)

A certain tablet is advertised as containing \(500 mg\) of vitamin C. One tablet was dissolved in water and reacted with \(\mathrm{Br}_{2}\). The solution was then titrated with \(43.20 mL\) of \(0.1350 \mathrm{M} \ \mathrm{NaOH}\). Did the tablet contain the advertised quantity of vitamin C?

Equation Transcription:

C, C6H8O6

C6H8O6 + Br2  C6H6O6 + 2HBr

HBr + NaOH  NaBr + H2O

Br2

Text Transcription:

C, C_6H_8O_6

C_6H_8O_6 + Br_2 rightarrow C_6H_6O_6 + 2HBr

HBr + NaOH rightarrow NaBr + H_2O

500 mg

Br_2

43.20 mL

0.1350 M NaOH

ANSWER:

Solution 97P

Here we have to find out  did the tablet contain the advertised quantity of vitamin C.

Step 1

In this question it has been given that the amount of ascorbic acid (vitamin C; C6H8O6) in tablets is determined by reaction with bromine and then titration of the hydrobromic acid with standard base, the reaction is given below,

C6H8O6 + Br2 → C6H6O6 + 2HBr

HBr + NaOH → NaBr + H2O

Mass of vitamin C present in tablet = 500 mg

Volume of solution of NaOH = 43.20 mL

Concentration of NaOH = 0.1350 M

In order to calculate the mass of vitamin C, 1st we have to find the moles of NaOH from its given molarity and volume then we will use the molar ratios from the two balanced equations to convert the moles of NaOH to moles of HBr to moles of vitamin C. Finally we have to express the mass of vitamin C in mg.

43.20 mL NaOH  = 5.832 10-3 mol of NaOH

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