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The mole fraction of the solute in one molal aqueous solution is: [2 00 5]
- a)0.009
- b)0.018
- c)0.027
- d)0.036
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The mole fraction of the solute in one molal aqueous solution is: [2 0...
One molal solution means one mole solute present in 1 kg (1000 g) solvent i.e., mole of solute = 1
Mole of solvent 
Mole fraction of solute = 
Most Upvoted Answer
The mole fraction of the solute in one molal aqueous solution is: [2 0...
To determine the mole fraction of the solute in a one molal aqueous solution, we need to understand the concept of molality and mole fraction.
Molality:
Molality is a measure of the concentration of a solute in a solution. It is defined as the number of moles of solute dissolved per kilogram of solvent. It is denoted by the symbol 'm'.
Molality (m) = moles of solute / mass of solvent (in kg)
Mole fraction:
Mole fraction is a way to express the concentration of a component in a solution. It is the ratio of the number of moles of a component to the total number of moles in the solution.
Mole fraction (X) = moles of component / total moles of all components in the solution
Given that the solution is one molal, it means that one mole of solute is dissolved in one kilogram of solvent. Therefore, the molality (m) of the solution is 1 mol/kg.
To calculate the mole fraction of the solute, we need to know the number of moles of solute and the number of moles of solvent.
In a one molal solution, the number of moles of solute is always 1 because it is defined as one mole of solute per kilogram of solvent.
The number of moles of solvent can be calculated using the molality and the mass of solvent. However, the mass of solvent is not provided in the question.
Since we do not have the mass of the solvent, we cannot calculate the number of moles of solvent. Therefore, we cannot directly calculate the mole fraction of the solute.
However, we can make an assumption that the mass of the solvent is close to the mass of water, as water is the most common solvent in aqueous solutions. In this case, the mass of one kilogram of water is equal to the number of moles of water.
The molar mass of water (H2O) is approximately 18 g/mol. Therefore, the mass of one kilogram of water is 1000 g, which is approximately 55.56 moles.
Now, we can calculate the mole fraction of the solute:
Mole fraction (X) = 1 mole / (1 mole + 55.56 moles) ≈ 0.018
Therefore, the correct answer is option B) 0.018.
Molality:
Molality is a measure of the concentration of a solute in a solution. It is defined as the number of moles of solute dissolved per kilogram of solvent. It is denoted by the symbol 'm'.
Molality (m) = moles of solute / mass of solvent (in kg)
Mole fraction:
Mole fraction is a way to express the concentration of a component in a solution. It is the ratio of the number of moles of a component to the total number of moles in the solution.
Mole fraction (X) = moles of component / total moles of all components in the solution
Given that the solution is one molal, it means that one mole of solute is dissolved in one kilogram of solvent. Therefore, the molality (m) of the solution is 1 mol/kg.
To calculate the mole fraction of the solute, we need to know the number of moles of solute and the number of moles of solvent.
In a one molal solution, the number of moles of solute is always 1 because it is defined as one mole of solute per kilogram of solvent.
The number of moles of solvent can be calculated using the molality and the mass of solvent. However, the mass of solvent is not provided in the question.
Since we do not have the mass of the solvent, we cannot calculate the number of moles of solvent. Therefore, we cannot directly calculate the mole fraction of the solute.
However, we can make an assumption that the mass of the solvent is close to the mass of water, as water is the most common solvent in aqueous solutions. In this case, the mass of one kilogram of water is equal to the number of moles of water.
The molar mass of water (H2O) is approximately 18 g/mol. Therefore, the mass of one kilogram of water is 1000 g, which is approximately 55.56 moles.
Now, we can calculate the mole fraction of the solute:
Mole fraction (X) = 1 mole / (1 mole + 55.56 moles) ≈ 0.018
Therefore, the correct answer is option B) 0.018.
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The mole fraction of the solute in one molal aqueous solution is: [2 00 5]a)0.009b)0.018c)0.027d)0.036Correct answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The mole fraction of the solute in one molal aqueous solution is: [2 00 5]a)0.009b)0.018c)0.027d)0.036Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mole fraction of the solute in one molal aqueous solution is: [2 00 5]a)0.009b)0.018c)0.027d)0.036Correct answer is option 'B'. Can you explain this answer?.
The mole fraction of the solute in one molal aqueous solution is: [2 00 5]a)0.009b)0.018c)0.027d)0.036Correct answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The mole fraction of the solute in one molal aqueous solution is: [2 00 5]a)0.009b)0.018c)0.027d)0.036Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mole fraction of the solute in one molal aqueous solution is: [2 00 5]a)0.009b)0.018c)0.027d)0.036Correct answer is option 'B'. Can you explain this answer?.
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