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Elevation in Boiling Point

If the mole f...

Question

If the mole fraction of a solute is changed from $\frac{1}{4}$ to $\frac{1}{2}$ by adding some solute in the $800 g$ of $H_{2} O$ solvent, then the ratio of molality of two solutions will be:

1 : 3

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1 : 4

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2 : 3

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1 : 2

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Solution

The correct option is A $1 : 3$

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Similar questions

\frac{1}{3}

\frac{1}{2}

\frac{1}{3}

\frac{1}{2}

\frac{N u m b e r o f m o l e s o f s o l u t e}{N u m b e r o f k i l o g r a m s o f t h e s o l v e n t}

w_{A}

m_{A}

w_{B}

\frac{w_{A}}{m_{A} \times w_{B}} \times 1000

X_{A} = \frac{n}{N + n} a n d X_{B} = \frac{N}{N + n}

\frac{X_{A}}{X_{B}} = \frac{n}{N} = \frac{M o l e s o f s o l u t e}{M o l e s o f s o l v e n t} = \frac{W_{A} \times m_{B}}{w_{B} \times m_{A}}

\frac{X_{A} \times 1000}{X_{B} \times m_{B}} = \frac{w_{A} \times 1000}{W_{B} \times m_{A}} = m

\frac{X_{A} \times 1000}{(1 - X_{A}) m_{B}} = m

\frac{1}{3}

\frac{1}{2}

800

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