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Elevation in Boiling Point

The boiling p...

Question

The boiling points for aqueous solutions of sucrose and urea are same at constant temperature. If 3 g of urea is dissolved in its 1 L solution, what is the weight of sucrose dissolved in its 1 L solution ?
[Urea = 60 Wmol, sucrose = 342 g/mol]

17.1 g

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3.0 g

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6.0 g

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34.2 g

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Solution

The correct option is A 17.1 g
Molecular weight of urea = 60 g
Molecular weight of sucrose = 342 g
Boiling point of urea = Boiling point of sucrose Given weight of urea = 3 g
$∴ \frac{(W e i g h t)_{1}}{(M o l e c u l a r W e i g h t h)_{1}} = \frac{(W e i g h t)_{1}}{(M o l e c u l a r W e i g h t h)_{2}}$
$\frac{3}{60} = \frac{(W e i g h t)_{2}}{342} \Rightarrow (W e i g h t)_{2} = \frac{342 \times 3}{60} = 17.1 g$

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3 g m

1

1

= 60 g m / m o l e

= 342 g m / m o l e

(π_{g l u c o s e}, π_{u r e a} a n d π_{s u c r o s e})

1 g

1 g

1 g

1 l i t r e

Vant Hoff factor (i) = 1

60 g / m o l, 180 g / m o l & 342 g / m o l

_{1}

_{2}

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The percentage of urea in an aqueous solution which is isotonic with a 34.2% solution of sucrose is

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P_{3}

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