Question

Chlorine Bleach is a solution of sodium hypochlorite in water. It usually comes as 5.25% w/v. If you pour in 100.0 ml in your washing machine bleach holder and your washing machine holds a total volume of 3.0 ft³, determine the new percentage of bleach in the filled washing machine. Assume that the density of the resulting solution will be close to water at 1.0 g/ml.

Answer #1

Since initial concentration is 5.25% w/v; per each 100 ml of solution 5.25 gams of sodium hypochlorite will be present.

100ml bleach solution = 5.25 gms of NaOCl_{2}

Volume of washing drum = volumeof total solution = 3.0
ft^{3}

i.e. 3ft3 solution contains 5.25 gms of NaOCl_{2}

Since 1 ft = 30.48 cm

3ft^{3} = 3* (30.48)^{3} cm^{3} or
ml

^{}Totalsolution volume = 84950.5 cm^{3} or
ml

W/V % = (weight of NaOCl_{2} / tota lvolume of
solution)* 100% = (5.25/ 84950.5)* 100%

Hence final solution W/V % = 0.00618 % or 6.18 * 10^{-3}
^{}w/v

Since density of the solution is 1 gm/ml for this case W/V% = W/W%

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