Question

In: Chemistry

A 0.8027 g sample of impure al2(CO3)3 decomposed with HCL: the liberated CO2 was collected on...


A 0.8027 g sample of impure al2(CO3)3 decomposed with HCL: the liberated CO2 was collected on calcium oxide and found to weight 0.0507g calculate the percentage of aluminum in the sample

Solutions

Expert Solution

The balanced equation for the given reaction is -

         Al2(CO3)3 (aq) + 6 HCl (aq) ---------->   2AlCl3 (aq) + 3CO2 (g) + 3 H2O (l)

Mass of CO2 produced = 0.0507 g

Therefore - Number of mols of Al2(CO3)3 must present to evolve this much of CO2 is

                   = (0.0507 g)(1 mol CO2/44 g/mol)(1 mol Al2(CO3)3 /3 mol CO2)

                   = 3.84*10-4 mol Al2(CO3)3

Therefore, the number of mols of Al2(CO3)3 in the impure sample

= [3.84*10-4 mol Al2(CO3)3]* (2 mol Al / Al2(CO3)3)

= 7.68*10-4 mol Al

Therefore - Mass of Al in the impure sample = (7.68*10-4 mol Al)(27 g / 1 mol Al)

                                                                = 0.02074 g

Therefore, % weight of Al in imure sample = (0.02074 g/0.8027 g)*100 = 2.60 %


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