2.176 g of a solid mixture containing only potassium carbonate (FW = 138.2058 g/mol) and potassium bicarbonate (FW = 100.1154 g/mol) is dissolved in distilled water. 30.06 mL of a 0.765 M HCl standard solution is required to titrate the mixture to a bromocresol green end point. Calculate the weight percent of potassium carbonate and potassium bicarbonate in the mixture.
K2CO3 + 2HCl ---> H2CO3 + 2KCl
1 mol K2CO3 = 2 MOL HCl
KHCO3 + HCl ---> H2CO3 + KCl
1 mol KHCO3 = 1 mol HCl
so that,
total no of mol of HCl reacted = 30.06*0.765/1000 = 0.023 mol
no of mol K2CO3 reacted = x/2
no of mol of KHCO3 = 0.023 - x
2.176 = (x/2*138.2)+((0.023-x)*100.11)
x = 0.00408
mass of K2CO3 = x/2*138.2
= 0.00408/2*138.2
= 0.282 g
mass of KHCO3 = (0.023-x)*100.11
= (0.023-0.00408)*100.11
= 1.894 g
percentage of K2CO3 = 0.282/2.176*100 = 12.96%
percentage of KHCO3 = 1.894/2.176*100 = 87%
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