At $100^{0} C$ the vapour pressure of a solution of $6.5 g$ of a solute in $100 g$ water is $732 mm$ . If $K_{b} = 0.52$ , the boiling point of this solution will be:

102^{0} C

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103^{0} C

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101^{0} C

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100^{0} C

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Solution

The correct option is C $101^{0} C$
Given: $W_{B} = 6.5 g, W_{A} = 100 g, p_{s} = 732 mm, K_{b} = 0.52, T_{b}^{0} = 100^{0} C, p^{0} = 760 mm$

$\frac{P^{0} - P_{s}}{P^{0}} = \frac{n_{2}}{n_{1}} \Rightarrow \frac{760 - 732}{760} = \frac{n_{2}}{100 / 18}$

$\Rightarrow n_{2} = \frac{28 \times 100}{760 \times 18} = 0.2046 mol$
$Δ T_{b} = K_{b} \times m$
$T_{b} - T_{b}^{0} = K_{b} \times \frac{n_{2} \times 1000}{W_{A} (g)}$
$T_{b} - 100^{0} C = \frac{0.52 \times 0.2046 \times 1000}{100} = 1.06$
$T_{b} = 100 + 1.06 = {101.06}^{0} C$

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Similar questions

At $100^{\circ} C$ the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If $K_{b} = 0.52$ , the boiling point of this solution will be

Q. At

100^{o}

C, the vapor pressure of a solution of

6.5

of a solute in

100

g water is

732

mm. If

K_{b} = 0.52

, the boiling point of this solution will be:

Q. At

100^{\circ} C

the vapour pressure of a solution of

6.5 g

of a solution in

100 g

water is

732 m m

. If

K_{b} = 0.52

, the boiling point of this solution will be:

At $100^{\circ} C$ the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If $K_{b} = 0.52$ , the boiling point of this solution will be

At $100^{\circ} C$ the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If $K_{b}$ = 0.52, the boiling point of this solution will be (Mark nearest one)

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At 1000C the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If Kb=0.52, the boiling point of this solution will be:

The correct option is C 1010CGiven: WB=6.5g,WA=100g,ps=732 mm,Kb=0.52,T0b=1000C,p0=760 mm P0−PsP0=n2n1⇒760−732760=n2100/18 ⇒n2=28×100760×18=0.2046 mol ΔTb=Kb×m Tb−T0b=Kb×n2×1000WA(g) Tb−1000 C=0.52×0.2046×1000100=1.06 Tb=100+1.06=101.060 C

At $100^{0} C$ the vapour pressure of a solution of $6.5 g$ of a solute in $100 g$ water is $732 mm$ . If $K_{b} = 0.52$ , the boiling point of this solution will be: