1) The moles of iodine formed with the reaction of hypochlorite is 1:1
2) The moles of iodine required to react with the thiosulfate is 1:2
(The redox equation is I2 + 2S2O32- ⇒ 2I- + S4O62-
.0139 liters of sodium thiosulfate x (.399 moles/liter sodium thiosulfate)(1mole thiosulfate/mole of sodium thiosulfate)(1 mole iodine/2 moles of sodium thiosulfate)(1mole hypochlorite/mole iodine) = 2.773 x 10-3 moles of hypochlorite.
The moles per volume of the aliquot and the 250 ml dilution concentration is 2.773 x 10-3 moles / 50 ml which we can turn into weight per 100 ml by multiplying by 2/2 and by molar mass of NaOCl (74.4 g/mole):
2(2.773 x 10-3)(74.4)/(2x50 ml) = .413 g/100 ml
Finally this concentration was based on a 250/20 dilution, so the concentration in the bleach was (250/20) more concentrated or 5.16 W/V %
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