Question

. What is the mole fraction of water in solution containing equal moles of acetone and water?​

Answer 1

Explanation:

Let the number of moles of water be x

Since, it is given that, solution contains equal moles of H_2O&C_2H_5OH .so,

The moles of C_2H_5OHC

2

H

5

OH will also be x.

Mole fraction=\chi_{H_2O}\frac{\text{moles of}H_2O}{\text{moles of }C_2H_5OH+\text{moles of}H_2O}χ

H

2

O

moles of C

2

H

5

OH+moles ofH

2

O

moles ofH

2

O

\chi_{H_2O}=\frac{x}{x+x}=\frac{x}{2x}=0.5χ

H

2

O

=

x+x

x

=

2x

x

=0.5

Answer 2

Final answer:

The mole fraction of water in a solution containing equal moles of acetone and water $= 0.5$

Given that: We are given a solution containing equal moles of acetone and water.

To find: We have to find the mole fraction of water in a solution containing equal moles of acetone and water.

Explanation:

• The mole fraction of a component in a solution or mixture is defined as the ratio of the number of moles of that component to the total number of moles in the solution or mixture.
• When $n_{x}$ be the number of moles of component "$X$" dissolved in component "$Y$" whose number of moles is $n_{y}$.
• Total number of moles = $n_{x} + n_{y}$

$Mole fraction of x =\frac{Number of moles of X}{Total number of moles }$

$=\frac{n_{x}}{n_{x}+n_{y}}$

$Mole fraction of y = \frac{Number of moles of Y}{Total number of moles }$

$=\frac{n_{y}}{n_{x}+n_{y}}$

• Given that the number of moles of acetone and water is equal.
• Let "$x$" be the number of moles of water, therefore the number of moles of acetone $= x$ $mol$

$Total number of moles of the solution = Number of moles of water + Number of moles of acetone$

$= x + x$

$= 2x$ $mol$

$Mole fraction of water = \frac{Number of moles of water}{Total number of moles of the solution}$

$=\frac{ x}{2x}\\\\= \frac{1}{2}\\\\= 0.5$

• Hence, the mole fraction of water in a solution containing equal moles of acetone and water $= 0.5$

To know more about the concept please go through the links

https://brainly.in/question/326551

https://brainly.in/question/41187948

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