Please check my answers.
1. Using the equations,
IO3- +5I- + 6H+ -> 3I2 + 3H2O
C6H8O6 + I2 -> C6H6O6 + 2I- + 2H+
how many equivalents of IO3- are required to produce enough I2 to oxidize one equivalent of ascorbic acid?
Answer: 1IO3- <-> 3I2 <-> 3C6H8O6
1/3 equivalents of IO3-
2. A 10 g sample of no name grape drink mix is diluted to 250 mL. 50 mL of grape drink is titrated with 35 mL of 0.005 M KIO3 solution.
a) How many moles of ascorbic acid are present in 50 mL of the grape solution?
0.005 mol/L KIO3 x 0.035 L KIO3 =
1.75 x 10^-4 mol KIO3
1.75 x 10^-4 mol KIO3 x (3 mol I2/1 mol KIO3) = 5.25 x 10^-4 mol I2.
3 KIO3 <-> 3 C6H8O6, so same amount of moles of C6H8O6.
b) What is the percent by mass of ascorbic acid in a package of grape drink mix?
5.25 x 10^-4 mol C6H8O6 x 176.124 g/mol C6H8O6 = 0.092 g C6H8O6
But this is grams in 50 mL of solution - we have 250 mL throughout which the ascorbic acid is distributed. So 0.092 g x 5 = 0.462 g C6H8O6 within 250 mL solution.
0.462 g/10.00 g x 100 = 4.62%
c) If there are 8 servings per package, calculate the %RDA of vitamin C in each serving of no name grape mix. Formula: (mg ascorbic acid/serving)/75 mg
(462 mg C6H8O6/8)/75 mg
= 0.77 % RDA
Thanks for your help!
2 answers
1 mole IO3^- = 3moles I2
3 moles ascorbic acid = 3 moles I2; therefore, 1 mole IO3^- = 3 moles I2
In the next step,
C6H8O6 + I2 ==> C6H6O2 +2H^+ + 2I^-
So this step is 1 mol C6H8O = 1 mol I2 but
2 equivalents C6H8O6 = 2 equivalents I2 (since I2 goes from 0 to -2 for 1 mole, that is 2e change for 1 mol, the equivalent weight I2 is 1/2 molar mass pr 2 equivalents. Therefore,
1/3 mol IO3^- = 1 mole I2 = 2 equivalents I2 and
1/6 mol IO3^- = 1 equivalent I2.
1/6 mol IO3^- = 1 equivalent ascprbic acid. You can check that out in your percent, which you did with moles and the 4.62% is correct.
If we do that with equivalents (and milliequivalents) we should get the same answer. m.e. = # milliequivalents and m.e.w. = milliequivalent weight.
So mL = 35 mL
Normality = 0.005*6 (since there are 6 equivalents in 1 mole IO3^-).
m.e.w. ascorbic acid = molar mass/2 = 176.124/2000 =0.088062
(mL x N x m.e.w./mass sample)*100 =
35.0mL x 0.03N x 0.088062g/2g sample)*100 = 4.62%
Viola!