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**Problem**: What is the mole fraction of CH3OH in an aqueous solution that is 12.0 m in CH3OH?A. 0.333B. 0.667C. 0.178D. 0.216 E. 0.400

###### FREE Expert Solution

###### FREE Expert Solution

We’re being asked to **determine the mole fraction of CH _{3}OH** in

**an aqueous solution that is 12.0 m in CH**

_{3}OHRecall that ** molality** is the ratio of the moles of solute and the mass of solvent (in kilograms).

In other words:

$\overline{){\mathbf{Molality}}{\mathbf{}}{\mathbf{\left(}}{\mathbf{m}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathbf{moles}\mathbf{}\mathbf{solute}}{\mathbf{kg}\mathbf{}\mathbf{solvent}}}$

**Mole Fraction (X)** relates the moles of solute and solvent within a solution:

$\overline{){\mathit{m}}{\mathit{o}}{\mathit{l}}{\mathit{e}}{\mathbf{}}{\mathit{f}}{\mathit{r}}{\mathit{a}}{\mathit{c}}{\mathit{t}}{\mathit{i}}{\mathit{o}}{\mathit{n}}{\mathbf{}}{\mathbf{\left(}}{\mathit{X}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathbf{m}\mathbf{o}\mathbf{l}\mathbf{e}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{s}\mathbf{o}\mathbf{l}\mathbf{u}\mathbf{t}\mathbf{e}}{\mathbf{m}\mathbf{o}\mathbf{l}\mathbf{e}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{s}\mathbf{o}\mathbf{l}\mathbf{u}\mathbf{t}\mathbf{i}\mathbf{o}\mathbf{n}}}$

**We’ll calculate the mole fraction of caffeine using the following steps:**

###### Problem Details

What is the mole fraction of CH_{3}OH in an aqueous solution that is 12.0 m in CH_{3}OH?

A. 0.333

B. 0.667

C. 0.178

D. 0.216

E. 0.400

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Mole Fraction concept. You can view video lessons to learn Mole Fraction Or if you need more Mole Fraction practice, you can also practice Mole Fraction practice problems .

How long does this problem take to solve?

Our expert Chemistry tutor, Dayana took 4 minutes to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Woodrum's class at UK.