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The mole fraction of ethylene glycol is 0.203.
What is a mole fraction?
The mole fraction represents the number of moles of a specific component divided by the total number of moles present in the given solution.
It is a method of expressing the concentration of a solution
Mole fraction can be represented by x. Let a solution consists of components A and B then, the mole fraction is
[tex]Mole fraction of solute, n_A = \frac{n_A}{n_A+n_B}[/tex]
[tex]Mole fraction of solvent, n_B = \frac{n_A}{n_A+n_B}[/tex]
The molar mass of ethylene glycol = 62 g
Given the mass of ethylene glycol = 2.109 x 10³ g
The molar mass of water = 18 g
Given the mass of water= 2.40×10³ g
No moles of ethylene glycol, [tex]n_A[/tex] = [tex]\frac{2.109 \times 10^3 g}{62 g}[/tex]
=34.02
No of moles of water, [tex]n_B[/tex] = [tex]\frac{2.40 \times 10^3 g}{18 g}[/tex] = 133.33
Mole fraction of ethylene glycol = [tex]x = \frac{n_A}{n_A +n_B}[/tex] = [tex]\frac{34.02}{34.02+133.33} = \frac{34.02}{167.35}[/tex]
= 0.203
Hence, The mole fraction of ethylene glycol is 0.203
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