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A mixture is 20.00 mole% methyl alcohol, 60.0 mole% methyl acetate, and 20.0 mole% acetic acid.

What is the mass of a sample containing 45.0 kmol of methyl acetate?

Respuesta :

Answer:

4714.950 kilograms  is the mass of a sample containing 45.0 kmol of methyl acetate.

Explanation:

Moles of methyl acetate =[tex]n_1[/tex]=45.0 kmol= 45000 mol

Mole percentage of methyl acetate = 60.0%

Total moles in the sample = n

[tex]60.0\%=\frac{45000 mol}{n}\times 100[/tex]

[tex]n=\frac{45000 mol}{60.0}\times 100=75000 mol[/tex]

Mole percentage of methyl alcohol = 20.0%

Moles of methyl alcohol = n_2

[tex]20.0\%=\frac{n_2}{75000 mol}\times 100[/tex]

[tex]n_2=15,000 mol[/tex]

Mass of methyl alcohol =  [tex]n_2\times 32.04 g/mol[/tex]

=[tex]15000 mol\times 32.04 g/mol=480,600 g[/tex]

Mole percentage of acetic acid  = 20.0%

Moles of acetic acid = n_3

[tex]20.0\%=\frac{n_3}{75000 mol}\times 100[/tex]

[tex]n_3=15,000 mol[/tex]

Mass of acetic acid= [tex]n_3\times 60.05 g/mol[/tex]

[tex]15000 mol\times 60.05 g/mol=900,750 g[/tex]

Mass of methyl methyl acetate= [tex]n_1\times 74.08 g/mol[/tex]

[tex]45000 mol\times 74.08 g/mol =3,333,600 g[/tex]

Mass of sample: 480,600 g + 3,333,600 g + 900,750 g = 4714950 g

4714950 g = 4714.950 kg

(1 kg = 1000 g)