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Standard XII

Chemistry

Raoult's Law

A solution co...

Question

A solution contains one mole of alcohol and four moles of water. What are the mole fractions of water and alcohol?

1/4, 4/1

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4/1, 1/4

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4/5, 1/5

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1/5, 4/5

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Solution

Step 1:
Given that,
Moles of alcohol = 1 mole
Mole of water = 4 mole
Mole fraction of a substance is given by
$X_{A} = \frac{n_{A}}{n_{A} + n_{B}}$
Step 2:
Mole fraction of alcohol, $x_{a l c o h o l} = \frac{1}{1 + 4} = \frac{1}{5}$
Mole fraction of water, $x_{w a t e r} = \frac{4}{1 + 4} = \frac{4}{5}$
Hence, option (C) is correct.

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A solution contains one mole of alcohol and four moles of water. What are the mole fractions of water and alcohol?

Step 1: Given that, Moles of alcohol = 1 mole Mole of water = 4 moleMole fraction of a substance is given by XA=nAnA+nB Step 2: Mole fraction of alcohol, xalcohol=11+4=15 Mole fraction of water, xwater=41+4=45 Hence, option (C) is correct.