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A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)
- a)53.06 g mol−1
- b)25.3 g mol−1
- c)16.08 g mol−1
- d)43.92 g mol−1
Correct answer is option 'D'. Can you explain this answer?
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To solve this problem, we can use the formula for boiling point elevation:
ΔT = Kb * m * i
where ΔT is the boiling point elevation, Kb is the molal boiling point elevation constant, m is the molality of the solution, and i is the Van't Hoff factor (which is 1 for a non-electrolyte).
Given:
ΔT = 0.80K
Kb = 0.52K kg mol
m = unknown
i = 1
Rearranging the formula, we have:
m = ΔT / (Kb * i)
Plugging in the given values, we get:
m = 0.80K / (0.52K kg mol * 1)
m = 1.54 mol/kg
Now we can calculate the moles of the non-electrolyte substance:
moles = m * mass of solvent
mass of solvent = mass of solution - mass of solute
mass of solvent = 185g - 12.5g
mass of solvent = 172.5g
moles = 1.54 mol/kg * 0.1725 kg
moles = 0.265 mol
Finally, we can calculate the molar mass of the substance:
molar mass = mass of substance / moles
mass of substance = mass of solution - mass of solvent
mass of substance = 12.5g
molar mass = 12.5g / 0.265 mol
molar mass ≈ 47.17 g/mol
Therefore, the molar mass of the substance is approximately 47.17 g/mol.
ΔT = Kb * m * i
where ΔT is the boiling point elevation, Kb is the molal boiling point elevation constant, m is the molality of the solution, and i is the Van't Hoff factor (which is 1 for a non-electrolyte).
Given:
ΔT = 0.80K
Kb = 0.52K kg mol
m = unknown
i = 1
Rearranging the formula, we have:
m = ΔT / (Kb * i)
Plugging in the given values, we get:
m = 0.80K / (0.52K kg mol * 1)
m = 1.54 mol/kg
Now we can calculate the moles of the non-electrolyte substance:
moles = m * mass of solvent
mass of solvent = mass of solution - mass of solute
mass of solvent = 185g - 12.5g
mass of solvent = 172.5g
moles = 1.54 mol/kg * 0.1725 kg
moles = 0.265 mol
Finally, we can calculate the molar mass of the substance:
molar mass = mass of substance / moles
mass of substance = mass of solution - mass of solvent
mass of substance = 12.5g
molar mass = 12.5g / 0.265 mol
molar mass ≈ 47.17 g/mol
Therefore, the molar mass of the substance is approximately 47.17 g/mol.
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A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer?
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A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer?.
A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solution containing 12.5g of non-electrolyte substance in 185g of water shows boiling point elevation of 0.80K. Calculate the molar mass of the substance. (Kb = 0.52K kg mol−1)a)53.06 g mol−1b)25.3 g mol−1c)16.08 g mol−1d)43.92 g mol−1Correct answer is option 'D'. Can you explain this answer?.
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