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Percentage Composition

The vapour pr...

Question

The vapour pressure of pure water at $26^{\circ} C$ is 25.21torr. What is the vapour pressure of a solution which contains 20.0g of glucose in 70g of water?

27.9torr

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25.9torr

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24.5torr

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32.0torr

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Solution

The correct option is C 24.5torr
$n_{1} = \frac{20}{180} = 0.111; n_{2} = \frac{70}{18} = 3.89$
$\frac{P_{0} - P_{S}}{P_{0}} = \frac{n_{1}}{n_{1} + n_{2}}$
$\frac{25.21 - P_{S}}{25.21} = \frac{0.111}{0.111 + 3.89} = 0.0277$
$25.21 - P_{S} = 0.0277 \times 25.21 = 0.699$
$P_{S} = 25.21 - 0.699 = 24.5 t o r r$

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