A solution of Ba(OH)2 was standardized against 0.1016 g of primary standard benzoic acid C6H5COOH Calculate the concentration of if the end point was 20.89 mL.
Solution:
Balanced chemical equation:
Ba(OH)2 + 2C6H5COOH → (C6H5COO)2Ba + 2H2O
According to stoichiometry:
Moles of Ba(OH)2 = Moles of C6H5COOH / 2
or:
2 × Molarity of Ba(OH)2 × Volume of Ba(OH)2 = Mass of C6H5COOH / Molar mass of C6H5COOH
Therefore,
Molarity of Ba(OH)2 = (Mass of C6H5COOH) / (2 × Volume of Ba(OH)2 × Molar mass of C6H5COOH)
Molarity of Ba(OH)2 = unknown
Mass of C6H5COOH = 0.1016 g
Volume of Ba(OH)2 = 20.89 mL × (1 L / 1000 mL) = 0.02089 L
Molar mass of C6H5COOH = 122.12 g mol−1
Thus,
Molarity of Ba(OH)2 = (0.1016 g) / (2 × 0.02089 L × 122.12 g mol−1) = 0.01991 mol L−1
The molarity of Ba(OH)2 solution is 0.01991 M
Answer: The molar concentration of Ba(OH)2 solution is 0.01991 M
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