Alum was synthesized in the same manner as described in this experiment. If the actual yield of alum was 0.8675 g and the percent yield was 72.0%, what mass of aluminum was initially used? 2 Al(s) + 2 KOH(as) + 4 H2SO4(aq) + 22 H2O(l) 2 [KAl (SO4)2 ∙ 12 H2O](s) + 3 H2(g)
Molar mass of Al = 27 g/mol
Molar mass of Alum KAl(SO4)2 ∙ 12 H2O = 474 g/mol
Given that percent yield = 72 %
percent yield = (actual yield / theoretical yield) x100
72 = (0.8675 g/ theoretical yield) x 100
Then,
theoretical yield = 1.2 g
Hence,
2 Al(s) + 2 KOH(as) + 4 H2SO4(aq) + 22 H2O(l) --------> 2 [KAl(SO4)2 ∙ 12 H2O](s) + 3 H2(g)
2 mol 2 mol
1 mol 1 mol
27 g 474 g
? 1.2 g
? = (27g ) x (1.2 g/ 474 g)
= 0.068 g
Therefore,
mass of aluminum was initially used = 0.068 g
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