Answer:
The mole fraction of ethanol and water in the solution are 0.19 and 0.81 respectively.
Explanation:
The Molar Fraction is a way of measuring the concentration that expresses the proportion in which a substance is found with respect to the total moles of the solution, which are calculated by adding the moles of solute (s) and solvent.
It is calculated by dividing the number of moles of one of the components by the total number of moles of the solution.
The sum of all the molar fractions of the substances present in a solution is equal to 1.
So, the expression to calculate the mole fraction is:
[tex]Molar fraction (Xi)=\frac{moles of sudstance}{total moles of the solution}[/tex]
Being the molar mass of the compounds:
the number of moles that represent the mass quantities is calculated as:
So the total moles in solution are 6.52 moles + 27.78 moles = 34.3 moles
The mole fraction of ethanol in the solution is calculated as:
[tex]mole fraction of ethanol=x_{ethanol} =\frac{6.52 moles}{34.3 moles}[/tex]
[tex]x_{ethanol} =0.19[/tex]
The mole fraction of water in the solution is calculated as:
[tex]mole fraction of water=x_{water} =\frac{27.78 moles}{34.3 moles}[/tex]
[tex]x_{water} =0.81[/tex]
Then:
[tex]x_{water} +x_{ethanol} = 0.81 + 0.19[/tex]
[tex]x_{water} +x_{ethanol} =1[/tex]
The mole fraction of ethanol and water in the solution are 0.19 and 0.81 respectively.
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The mole fraction of ethanol and water would be 0.19 and 0.81 respectively
The mole fraction of a substance in a solution is the mole of that substance per total number of moles of substances in the solution.
Mathematically, mole fraction of a substance = mole of the substance/total mole of solution.
In this case:
Mole of 300 g ethanol = mass/molar mass
= 300/46
= 6.52 moles
Mole of 500 g water = 500/18
= 27.78 moles
Total moles = 6.52 + 27.78
= 34.3 moles
Mole fraction of ethanol = 6.52/34.3
= 0.19
Mole fraction of water = 0.81
Mole on mole fractions can be found here: https://brainly.com/question/2060778?referrer=searchResults
