Vapour pressure of water at 293k is 17.535

Asked by admin @ 26/08/2021 in Chemistry viewed by 329 People

Vapour pressure of water at 293 k is 17.535 mm hg. Calculate the vapour pressure of water at 293 k when 25 g or glucose is dissolved in 450 g of water

Answered by admin @ 26/08/2021

Answer:

Vapour pressure of water, p1° = 17.535 mm of Hg

Mass of glucose, w2 = 25 g

Mass of water, w1 = 450 g

We know that,

Molar mass of glucose (C6H12O6),

M2 = 6 × 12 + 12 × 1 + 6 × 16 = 180 g mol - 1

Molar mass of water, M1 = 18 g mol - 1

Then, number of moles of glucose, n1 = 25/180 = 0.139 mol

And, number of moles of water, n2 =450/18 = 25 mol

Now, we know that,

(p1° - p°) / p1° = n1 / n2 + n1

⇒ 17.535 - p° / 17.535 = 0.139 / (0.139+25)

⇒ 17.535 - p1 = 0.097

⇒ p1 = 17.44 mm of Hg

Hence, the vapour pressure of water is 17.44 mm of Hg.

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