In: Chemistry
To standardize a solution of KMnO4 for a redox titration, 0.3926 g of dry oxalic acid ( molar mass = 90.03488 g/mol; ignore buoyancy correction) is added to an Erlenmeyer flask and dissolved in excess 1 M H2SO4. The intensely puruple titrant (KMNO4) reacts with the standard to form a clear solution UNTIL the endpoint at 36.24 mL, where the first hint of purple is persistent in the flask. Another titration using 1 M H2SO4 and no oxalic acid requires 0.34 mL of titrant. What is the molar concentration of the standardized titrant?
2 KMnO4 + 6 H+ + 5 H2C2O4 -> 2 Mn2+ + 8 H2O + 5 CO2
please show work and include any relevant information! thankyou!
Ans. Given,
I. Mass of oxalic acid = 0.3926 g
II. Volume of KMnO4 solution consumed for (oxalic acid + H2SO4) = 36.24 mL
III. Volume of KMnO4 solution consumed for (H2SO4 only) = 0.34 mL
Now,
Moles of oxalic acid taken = Mass / molar mass
= 0.3926 g/ (90.03488 g/mol)
= 0.004360 mol
Volume of KMnO4 consumed by oxalic acid alone = reading (II - III)
= 36.24 mL – 0.34 mL
= 35.90 mL
Now, coming to stoichiometry of reaction: 2 mol completely reacts with 5 mol H2C3O4.
5.0 mol H2C2O4 is equivalent to 2.0 mol KMnO4
Or, 1.0 mol - - - (2.0 / 5.0) mol KMnO4
Or, 0.004360 mol - - - (2.0 / 5.0) x 0.004360 mol KMnO4
= 0.001744 mol
Thus, required moles of KMnO4 consumed during titration of H2C2O4 alone = 0.001744 mol.
That is,
35.90 mL of KMnO4 solution contains 0.001744 mol KMnO4.
So,
Molarity of KMnO4 solution = Number of moles / Volume of solution in liters
= 0.001744 mol / (0.03590 L) ; [1 L = 1000 mL]
= 0.0486 mol/ L
= 0.0486 M