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Comprehension Type
This section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)
 
Passage
A handbook gives the concentration of water in a 2.772 M aqueous solution of NaOH as 998.0 g L -1.
Q.
Molality of solution is
  • a)
    2.778 x 10-2
  • b)
    2.778  x 10-3
  • c)
    4.766 x 10-2
  • d)
    4.212 x 10-2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Comprehension TypeThis section contains a passage describing theory, e...
Molarity = 2.772 M =2.772 mol L-1  Thus, NaOH =2.772 mol
 
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Comprehension TypeThis section contains a passage describing theory, e...
Explanation:

Given Data:
- Concentration of water in the aqueous solution of NaOH = 998.0 g L^-1
- Molarity of the solution = 2.772 M

Calculations:
- First, we need to calculate the molar mass of water (H2O)
- Molar mass of H2O = 2(1.008 g/mol) + 16.00 g/mol = 18.016 g/mol

- Next, calculate the moles of water present in 1 L of the solution:
Moles of water = (Concentration of water in g/L) / (Molar mass of water)
Moles of water = 998.0 g L^-1 / 18.016 g/mol ≈ 55.42 mol

- Now, calculate the moles of NaOH in the solution using the molarity:
Moles of NaOH = Molarity x Volume of solution in L
Moles of NaOH = 2.772 mol/L x 1 L = 2.772 mol

- Calculate the mass of water in the solution:
Mass of water = Moles of water x Molar mass of water
Mass of water = 55.42 mol x 18.016 g/mol ≈ 998.0 g

- Calculate the mass of NaOH in the solution:
Mass of NaOH = Moles of NaOH x Molar mass of NaOH
Mass of NaOH = 2.772 mol x (22.990 g/mol + 15.999 g/mol + 1.008 g/mol) ≈ 124.65 g

- Now, calculate the molality of the solution:
Molality = (Moles of NaOH) / (Mass of solvent in kg)
Mass of solvent = Mass of water / 1000 (convert to kg)
Mass of solvent = 998.0 g / 1000 ≈ 0.998 kg
Molality = 2.772 mol / 0.998 kg ≈ 2.778 x 10^-2

Therefore, the correct answer is option (c) 2.778 x 10^-2.
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Comprehension TypeThis section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)PassageA handbook gives the concentration of water in a 2.772 M aqueous solution of NaOH as 998.0 g L -1.Q.Molality of solution isa)2.778 x 10-2b)2.778 x 10-3c)4.766 x 10-2d)4.212 x 10-2Correct answer is option 'C'. Can you explain this answer?
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Comprehension TypeThis section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)PassageA handbook gives the concentration of water in a 2.772 M aqueous solution of NaOH as 998.0 g L -1.Q.Molality of solution isa)2.778 x 10-2b)2.778 x 10-3c)4.766 x 10-2d)4.212 x 10-2Correct answer is option 'C'. Can you explain this answer? 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 Comprehension TypeThis section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)PassageA handbook gives the concentration of water in a 2.772 M aqueous solution of NaOH as 998.0 g L -1.Q.Molality of solution isa)2.778 x 10-2b)2.778 x 10-3c)4.766 x 10-2d)4.212 x 10-2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Comprehension TypeThis section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)PassageA handbook gives the concentration of water in a 2.772 M aqueous solution of NaOH as 998.0 g L -1.Q.Molality of solution isa)2.778 x 10-2b)2.778 x 10-3c)4.766 x 10-2d)4.212 x 10-2Correct answer is option 'C'. Can you explain this answer?.
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