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A student is given the assignment to determine the mass iron in a brand of women

ID: 917109 • Letter: A

Question

A student is given the assignment to determine the mass iron in a brand of women's vitamins. He begins by taking four vitamin tablets, grinding the tablets into a fine powder to undergo the necessary sample preparation to free all iron from the sample matrix and to reduce all iron to the +2 state. The resulting Fe^2+ solution is transferred to a 250 ml. volumetric flask and diluted to volume with distilled water. A 50 mL aliquot of the sample requires 42.98 mL of 1.00 x 10 3 M Cr,02'. Calculate the mg Fe per tablet. C r2 O^2- 7- + 6 Fe^2+ + 14H 2 Cr^3+ + 6 Fe^3+ + 7 H20

Explanation / Answer

Number of moles of Cr2O72- is , n = Molarity x volueme in L

                                                 = 1.00x10-3M x 0.4298 L

                                                = 4.298x10-4 mol

According to the balanced equation given above,

1 mole of Cr2O72- reacts with 6 moles of Fe2+   

4.298x10-4 mol of Cr2O72- reacts with 6x 4.298x10-4 moles= 2.579x10-3 mol of Fe2+   

This is the number of moles of in 50 mL of the aliquot.

For 250(5x50) mL of the aliquot the number of moles is = 5x 2.579x10-3 mol of Fe2+   

                                                                                = 0.0129 moles

This 250 mL solution is prepared by grinding 4 tablets

So for one tablet the number of moles = (0.0129)/4

                                                       = 3.22x10-3 moles

Molar mass of Fe is = 55.84 g/mol

So mass of Fe in each tablet = number of moles x molar mass

                                          = 3.22x10-3 moles x 55.84 (g/mol)

                                          = 0.18 g

                                          = 0.18x1000 mg

                                          = 180.0 mg

Therefore the mass of Fe in each tablet is 180.0 mg

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