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Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]?
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Calculate the freezing point of a solution containing 8.1 g of HBr in ...
Step 1: Calculate Moles of HBr
To find the moles of HBr in the solution, we first need to determine its molar mass:
- Molar mass of H = 1 g/mol
- Molar mass of Br = 80 g/mol
- Molar mass of HBr = 1 + 80 = 81 g/mol
Now, calculate the moles of HBr:
- Moles of HBr = mass / molar mass
- Moles of HBr = 8.1 g / 81 g/mol = 0.1 mol
Step 2: Calculate Ionization
Since HBr is 90% ionized:
- Ionized HBr = 0.1 mol × 0.90 = 0.09 mol
- Total particles (considering it dissociates into H⁺ and Br⁻):
Total = 0.09 mol H⁺ + 0.09 mol Br⁻ = 0.18 mol
Step 3: Calculate Molality
To find molality (m):
- Mass of water = 100 g = 0.1 kg
- Molality (m) = moles of solute / mass of solvent (kg)
- m = 0.18 mol / 0.1 kg = 1.8 mol/kg
Step 4: Calculate Freezing Point Depression
Using the formula for freezing point depression:
- ΔTf = Kf × m
- ΔTf = 1.86 K kg/mol × 1.8 mol/kg = 3.348 K
Step 5: Calculate Freezing Point of the Solution
The freezing point of pure water is 0°C. Therefore:
- Freezing point of solution = 0°C - ΔTf
- Freezing point of solution = 0°C - 3.348 K = -3.348°C
Final Result
The freezing point of the solution containing 8.1 g of HBr in 100 g of water, assuming 90% ionization, is approximately -3.35°C.
To find the moles of HBr in the solution, we first need to determine its molar mass:
- Molar mass of H = 1 g/mol
- Molar mass of Br = 80 g/mol
- Molar mass of HBr = 1 + 80 = 81 g/mol
Now, calculate the moles of HBr:
- Moles of HBr = mass / molar mass
- Moles of HBr = 8.1 g / 81 g/mol = 0.1 mol
Step 2: Calculate Ionization
Since HBr is 90% ionized:
- Ionized HBr = 0.1 mol × 0.90 = 0.09 mol
- Total particles (considering it dissociates into H⁺ and Br⁻):
Total = 0.09 mol H⁺ + 0.09 mol Br⁻ = 0.18 mol
Step 3: Calculate Molality
To find molality (m):
- Mass of water = 100 g = 0.1 kg
- Molality (m) = moles of solute / mass of solvent (kg)
- m = 0.18 mol / 0.1 kg = 1.8 mol/kg
Step 4: Calculate Freezing Point Depression
Using the formula for freezing point depression:
- ΔTf = Kf × m
- ΔTf = 1.86 K kg/mol × 1.8 mol/kg = 3.348 K
Step 5: Calculate Freezing Point of the Solution
The freezing point of pure water is 0°C. Therefore:
- Freezing point of solution = 0°C - ΔTf
- Freezing point of solution = 0°C - 3.348 K = -3.348°C
Final Result
The freezing point of the solution containing 8.1 g of HBr in 100 g of water, assuming 90% ionization, is approximately -3.35°C.
Community Answer
Calculate the freezing point of a solution containing 8.1 g of HBr in ...
-3.534 degree Celsius
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Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]?
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Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]?.
Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the freezing point of a solution containing 8.1 g of HBr in 100 g of water, assuming the acid to be 90 % ionized. [Given: Molar mass Br = 80 g/mol, Kf water = 1.86 K kg / mol]?.
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