A solution is made by mixing of water and of acetic acid . Calculate the mole fraction of water in this solution. Be sure your answer has the correct number of significant digits.

Respuesta :

Answer:

The answer is "0.35".

Explanation:

please find the complete question in the attached file.

Mass of [tex]CH_3C0_2 H[/tex][tex]= 77 \ g \\\\[/tex]

Molar mass of [tex]CH_3C0_2 H[/tex] [tex]= 60.05 \ \frac{g}{mol} \\\\[/tex]

No of moles in [tex]n_{CH_3CO_2H}[/tex] [tex]= 77 \ g \times \frac{1 \ mol \ CH_3C0_2H}{60.05 \ g}[/tex]  

                                          [tex]= 1.28 \ mol \ CH_3CO_2H[/tex]

Mass of water [tex](H_2O)[/tex][tex]= 42 \ g[/tex]

The molar mass of water [tex](H_2O)[/tex][tex]= 18.02 \ \frac{g}{mol}[/tex]

moles of water [tex]n_{H_2O}[/tex]:

[tex]= 42 \ g \times \frac{1 mol H_2O}{18.02 \ g} \\\\= 2.33 \ mol \ H_2 O[/tex]

Molfraction of acetic acid:

[tex]X CH_2CO_2H = \frac{n_{CH_3CO_2H}}{n_CH_3CO_2H +n_{H_2}}\\\\[/tex]

                     [tex]=\frac{1.28 \ mol}{1.28 \ mo1 + 2.33 mol}\\\\ = 0.354\\\\= 0.35[/tex]

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