Boiling point of water at 750mm hg is 99.63

Asked by admin @ 12/08/2021 in Chemistry viewed by 295 People

Boiling point of water at 750 mm Hg is 99.63°C. How much sucrose is to be added to 500 g of water such that it boils at 100°C. Molal elevation constant for water is 0.52 K kg mol −1 .

Answered by admin @ 12/08/2021

Mass of water (solvent ) , W = 500g
Boiling point of water , Tb = 99.63°C
molal elevation constant for water, Kb= 0.52K.kg/mol
elevation in boiling point , ∆Tb = 100°C - 99.63°C = 0.37°C/0.37K
molar mass of sucrose $C_{12}H_{22}O_{11}$ ,M=342g/mol
Let mass of sucrose is w g

we know, $\Delta{T_b}=\frac{K_b\times1000\times w}{M\times W}$

0.37 = (0.52 × 1000 × w)/(342 × 500)
0.37 = (0.52 × 2 × w)/(342)
w = 342 × 0.37/(1.04) = 121.67g

hence, weight of sucrose is 121.67g

Boiling point of water at 750mm hg is 99.63

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