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A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?
(AIEEE 2011)
- a)0.100
- b)0.190
- c)0.086
- d)0.050
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. Wh...
5.2 molal aqueous solution of CH3OH suggests that 5.2 moles ofCH3OH are dissolved in 1000 g of water.
n1(CH3OH) = 5.2 mol
n2(H2O) = 1000/18 = 55.56 mol
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A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. Wh...
Understanding the Problem
To find the mole fraction of methyl alcohol (CH3OH) in a 5.2 molal aqueous solution, we need to understand what molality means. Molality (m) is defined as moles of solute per kilogram of solvent.
Given Data
- Molality of CH3OH = 5.2 molal
- Molar mass of CH3OH = 32 g/mol (approximately)
- Assuming 1 kg of water (solvent)
Calculating Moles of Methyl Alcohol
- Moles of CH3OH = 5.2 moles (since it's 5.2 molal in 1 kg of water)
Calculating Mass of Methyl Alcohol
- Mass of CH3OH = 5.2 moles × 32 g/mol = 166.4 g
- Convert grams to kilograms: 166.4 g = 0.1664 kg
Total Mass in Solution
- Mass of the solution = Mass of CH3OH + Mass of water
- Total mass = 0.1664 kg (CH3OH) + 1 kg (water) = 1.1664 kg
Calculating Mole Fraction
- Moles of water = 1 kg / 18 g/mol = 55.56 moles (approximately)
- Total moles in solution = Moles of CH3OH + Moles of water
- Total moles = 5.2 moles + 55.56 moles = 60.76 moles
Mole Fraction of Methyl Alcohol
- Mole fraction of CH3OH = Moles of CH3OH / Total moles
- Mole fraction = 5.2 moles / 60.76 moles ≈ 0.0856
This value rounds to approximately 0.086, which corresponds to option 'C'.
Conclusion
The mole fraction of methyl alcohol in the solution is approximately 0.086, confirming option 'C' as the correct answer.
To find the mole fraction of methyl alcohol (CH3OH) in a 5.2 molal aqueous solution, we need to understand what molality means. Molality (m) is defined as moles of solute per kilogram of solvent.
Given Data
- Molality of CH3OH = 5.2 molal
- Molar mass of CH3OH = 32 g/mol (approximately)
- Assuming 1 kg of water (solvent)
Calculating Moles of Methyl Alcohol
- Moles of CH3OH = 5.2 moles (since it's 5.2 molal in 1 kg of water)
Calculating Mass of Methyl Alcohol
- Mass of CH3OH = 5.2 moles × 32 g/mol = 166.4 g
- Convert grams to kilograms: 166.4 g = 0.1664 kg
Total Mass in Solution
- Mass of the solution = Mass of CH3OH + Mass of water
- Total mass = 0.1664 kg (CH3OH) + 1 kg (water) = 1.1664 kg
Calculating Mole Fraction
- Moles of water = 1 kg / 18 g/mol = 55.56 moles (approximately)
- Total moles in solution = Moles of CH3OH + Moles of water
- Total moles = 5.2 moles + 55.56 moles = 60.76 moles
Mole Fraction of Methyl Alcohol
- Mole fraction of CH3OH = Moles of CH3OH / Total moles
- Mole fraction = 5.2 moles / 60.76 moles ≈ 0.0856
This value rounds to approximately 0.086, which corresponds to option 'C'.
Conclusion
The mole fraction of methyl alcohol in the solution is approximately 0.086, confirming option 'C' as the correct answer.
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A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer?.
A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer?.
Solutions for A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution ?(AIEEE 2011)a)0.100b)0.190c)0.086d)0.050Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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