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Question

5 g of NaCl is dissolved in 1000 g of water. If the density of the resulting solution is 0.997 g per cc. Which of the following option(s) is/are correct?

A
Mole fraction of solute is 1.53×103
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B
Molarity of the solution is 0.085 M
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C
Normality of the solution is 0.085 N
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D
Molality of the solution is 0.854 m
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Solution

The correct option is C Normality of the solution is 0.085 N
Mole of NaCl=558.5=0.0854 (mol. wt. of NaCl =58.5)
By definition:
Molality=moleswt. of solvent in grams×1000
=0.08541000×1000=0.0854 m.
Volume of the solution =moledensity in grams/cc=10050.997cc
=1008 mL=1.008 L
Again by definition
Molarity=molesvolume of solution in litres=0.08541.008=0.085 M
Normality=0.085 N
(for NaCl, eq. wt. = mol. wt.)
Further, moles of H2O=100018=55.55 (per 1000 g)
(Supposing 1 mL = 1 g for water having density 1 g/mL)
Total moles = moles of NaCl + moles of H2O
=0.0854+55.55=55.6409
Mole fraction of NaCl=moles of NaCltotal moles=0.085455.6409
=1.53×103

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