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Mole fraction of the solute in a 1.00 molal aqueous solution is
- a)1.7700
- b)0.1770
- c)0.0177
- d)0.0344
Correct answer is option 'C'. Can you explain this answer?
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Mole fraction of the solute in a 1.00 molal aqueous solution isa)1.770...
Mole fraction is a way to express the concentration of a solute in a solution. It is defined as the ratio of the number of moles of solute to the total number of moles in the solution.
To calculate the mole fraction of the solute in a 1.00 molal aqueous solution, we need to determine the number of moles of solute and the total number of moles in the solution.
1. Determine the number of moles of solute:
A 1.00 molal solution means that there is 1 mole of solute in 1 kilogram of solvent (water, in this case). Since the solution is aqueous, the solute is dissolved in water. The molar mass of water is 18.015 g/mol, so 1 kilogram of water is equal to 1000 grams, which is approximately 55.51 moles. Therefore, the number of moles of solute is 1 mole.
2. Determine the total number of moles in the solution:
The total number of moles in the solution is the sum of the moles of solute and the moles of solvent (water). Since the number of moles of solute is 1 mole, and the number of moles of water is 55.51 moles, the total number of moles in the solution is 1 + 55.51 = 56.51 moles.
3. Calculate the mole fraction of the solute:
The mole fraction of the solute is the ratio of the number of moles of solute to the total number of moles in the solution. Therefore, the mole fraction of the solute is 1/56.51 = 0.0177.
Hence, the correct answer is option C, 0.0177.
To calculate the mole fraction of the solute in a 1.00 molal aqueous solution, we need to determine the number of moles of solute and the total number of moles in the solution.
1. Determine the number of moles of solute:
A 1.00 molal solution means that there is 1 mole of solute in 1 kilogram of solvent (water, in this case). Since the solution is aqueous, the solute is dissolved in water. The molar mass of water is 18.015 g/mol, so 1 kilogram of water is equal to 1000 grams, which is approximately 55.51 moles. Therefore, the number of moles of solute is 1 mole.
2. Determine the total number of moles in the solution:
The total number of moles in the solution is the sum of the moles of solute and the moles of solvent (water). Since the number of moles of solute is 1 mole, and the number of moles of water is 55.51 moles, the total number of moles in the solution is 1 + 55.51 = 56.51 moles.
3. Calculate the mole fraction of the solute:
The mole fraction of the solute is the ratio of the number of moles of solute to the total number of moles in the solution. Therefore, the mole fraction of the solute is 1/56.51 = 0.0177.
Hence, the correct answer is option C, 0.0177.
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Mole fraction of the solute in a 1.00 molal aqueous solution isa)1.7700b)0.1770c)0.0177d)0.0344Correct answer is option 'C'. Can you explain this answer?
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