one useful method of recycling scrap aluminium converts someof it to common alum

Question

one useful method of recycling scrap aluminium converts someof it to common alum [pottassium aluminium sulfate dodecahydrate,KAI(SO4)2.12H2O], an important dye fisative and foodpreservatine. a) how many moles of potassium ions are in 429 g alum? b) what is the mass % S in alum? (to 3 significantfigures) c) what is the maximum amount of alum (in metric tons) thatcan be prepared from 17.1 meetric tons of scrap aluminium (1 metricton = 1000 kg)? can some one please do this problem? thank you. one useful method of recycling scrap aluminium converts someof it to common alum [pottassium aluminium sulfate dodecahydrate,KAI(SO4)2.12H2O], an important dye fisative and foodpreservatine. a) how many moles of potassium ions are in 429 g alum? b) what is the mass % S in alum? (to 3 significantfigures) c) what is the maximum amount of alum (in metric tons) thatcan be prepared from 17.1 meetric tons of scrap aluminium (1 metricton = 1000 kg)? can some one please do this problem? thank you.

Explanation / Answer

Mol. wt . of alum [pottassium aluminium sulfate dodecahydrate,KAI(SO4)2.12H2O] is
                                                                                             = 39 + 27 + 2( 32 + 4*16) + 12 *18                                                                                              = 474 g 474 g of alum contains 1 mole of K 429 g of Alum contains X moles of K X = ( 1*429 ) / 474     = 0.905 moles of K 474 g of alum contains 64 g of S 429 g of alum contains Y g of S Y = ( 64 * 429 ) / 474     = 57.924 g mass % = ( mass of S / mass of Alum ) * 100             = 13.5 % of S

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