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To 5.85 g of NaCl, one kg of water is added to prepare a solution. What is the strength of NaCl in this colution ? (Molecular weight of NaCl = 58.5)
  • a)
    0.1 Normal
  • b)
    0.1 Molal
  • c)
    0.1 Molar
  • d)
    0.1 Formal
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
To 5.85 g of NaCl, one kg of water is added to prepare a solution. Wha...
5.85g NaCl = 0.1 mol. As it is present in 1 kg of water, strength = 0.1 molal.
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Most Upvoted Answer
To 5.85 g of NaCl, one kg of water is added to prepare a solution. Wha...
Given:
Mass of NaCl = 5.85 g
Mass of water = 1 kg = 1000 g
Molecular weight of NaCl = 58.5 g/mol

To find:
Strength of NaCl in the solution

Solution:

1. Calculation of moles of NaCl:
Moles of NaCl = Mass of NaCl / Molecular weight of NaCl
= 5.85 g / 58.5 g/mol
= 0.1 mol

2. Calculation of molality of the solution:
Molality (m) = Moles of solute / Mass of solvent (in kg)
= 0.1 mol / 1 kg
= 0.1 mol/kg

3. Comparison with options:
a) 0.1 Normal: Normality is defined as the number of gram equivalents of solute present in one litre of solution. As NaCl is a neutral molecule, its gram equivalent weight is equal to its molecular weight. Therefore, 0.1 N solution of NaCl would contain 5.85 g of NaCl in one litre of solution. Hence, this option is not correct as the given solution has a greater volume than one litre.

b) 0.1 Molal: Molality is defined as the number of moles of solute present in one kg of solvent. As calculated above, the given solution has a molality of 0.1 mol/kg. Hence, this option is correct.

c) 0.1 Molar: Molarity is defined as the number of moles of solute present in one litre of solution. To convert molality to molarity, we need to know the density of the solution. As it is not given, we cannot calculate the molarity of the solution.

d) 0.1 Formal: Formality is defined as the number of gram equivalents of solute present in one litre of solution. As NaCl is a neutral molecule, its gram equivalent weight is equal to its molecular weight. Therefore, 0.1 F solution of NaCl would contain 5.85 g of NaCl in one litre of solution. Hence, this option is not correct as the given solution has a greater volume than one litre.

Therefore, the correct option is (b) 0.1 Molal.
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