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What Volume of Calcium Chloride Solution with a Mass Fraction of 22% and a Density of 1.16g/ml Is Required to Prepare 200 Ml of a

Вопрос

What volume of calcium chloride solution with a mass fraction of 22% and a density of 1.16g/ml is required to prepare 200 ml of a solution with a concentration of 0.1mol/I

Решения

4.1 (165 Голоса)
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мастер · Репетитор 5 лет

Ответ

To solve this problem, we need to find the volume of the calcium chloride solution with a mass fraction of 22% and a density of 1.16 g/ml that is required to prepare 200 ml of a solution with a concentration of 0.1 mol/L.Given information:- Desired concentration of the final solution: 0.1 mol/L- Volume of the final solution: 200 ml- Mass fraction of the calcium chloride solution: 22%- Density of the calcium chloride solution: 1.16 g/mlStep 1: Calculate the molar mass of calcium chloride (CaCl2).Molar mass of CaCl2 = 40.08 g/mol (Ca) + 2 × 35.45 g/mol (Cl) = 110.98 g/molStep 2: Calculate the mass of calcium chloride required for the final solution.Mass of CaCl2 = Concentration × Volume × Molar massMass of CaCl2 = 0.1 mol/L × 0.2 L × 110.98 g/mol = 22.196 gStep 3: Calculate the mass of the calcium chloride solution required.Mass of calcium chloride solution = Mass of CaCl2 / Mass fractionMass of calcium chloride solution = 22.196 g / 0.22 = 100.9 gStep 4: Calculate the volume of the calcium chloride solution required.Volume of calcium chloride solution = Mass of calcium chloride solution / DensityVolume of calcium chloride solution = 100.9 g / 1.16 g/ml = 86.8 mlTherefore, the volume of the calcium chloride solution with a mass fraction of 22% and a density of 1.16 g/ml that is required to prepare 200 ml of a solution with a concentration of 0.1 mol/L is 86.8 ml.