Dichromate and ferrous ions react in acidic solution to form chromic and ferric
ID: 866778 • Letter: D
Question
Dichromate and ferrous ions react in acidic solution to form chromic and ferric ions, respectively. If 1.285 grams of iron(II) bisulfate dissolved in sulfuric acid solution requires 35.78 mL of sodium dichromate solution for complete titration, what is the molarity of the sodium dichromate solution? Show the balanced net ionic and complete chemical equations for this reaction.
Explanation / Answer
(1) write out the two half-reactions
Redcution Half reaction (Cr2O7)2- + 14H+ + 6e- = 2Cr3+ + 7H2O
Oxidation half reaction Fe2+ = Fe3+ + e-
The number of electrons must be equal on both sides, so the second equation must be multiplied by 6. Also in acidic conditions balance the equation by adding H+ to whatever side needed and half of the number of H+ on the other side of reation. Therefore the net equation is written as follows :
(Cr2O7)2- + 14H+ + 6e- +6Fe2+ = 2Cr3+ + 7H2O +6Fe3+ + 6e-
The net ionic equation is then
(Cr2O7)2- + 14H+ +6Fe2+ = 2Cr3+ + 7H2O +6Fe3+
Now the molarity of Na2Cr2O7 = ?
According to the net equation the number of moles of Na2Cr2O7 is equal to (number of moles of FeSO4) / 6 ,so lets evaluate the number of moles of FeSO4 first as follows :
n = weight/ Molecular weight
n(FeSO4) = 1.285 / 152 = 0.00845 mol
Now divide the n(FeSO4) /6 = n(Na2Cr2O7)
n(Na2Cr2O7) = 0.00140899122 mol
Hence molarity = n(Na2Cr2O7) / volume of solution in litres
Cm(Na2Cr2O7) = 0.00140899122 / 0.03578 = 0.0339 M
(2) n(Na2Cr2O7) = 0.04722 * 0.0339 = 0.0016 mol
n(FeSO4) = 0.0016 * 6 = 0.0096 mol
m(Fe) = M(Fe) / M(FeSO4) * m
m(Fe) = 56/152 * 3.5 = 1.288 g
%(Fe) = 1.288 / 3.5 * 100 % = 36.8 %
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