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Estimate the molar concentration of 0.50 wt% (0.0050 mass fraction) benzene (C6H6) dissolved in liquid ethanol (C2H5OH) at 20°C. The density of liquid ethanol is 789 kg/m3 at 20°C. This solution of the solute benzene dissolved in the solvent ethanol is considered dilute.

Respuesta :

The molar concentration of benzene is 0.05mol/L

Data;

  • Mass Fraction = 0.0050
  • Temperature = 20°C
  • Density of Ethanol = 789 kg/m^3

Molar Concentration of Benzene

molar mass of benzene = 78g/mol

molar mass of ethanol = 46g/mol

mole fraction of benzene is

[tex]mole fraction = \frac{moles of benzene}{total mole}[/tex]

Let's substitute the values and find the mole fraction of benzene

[tex]_yC_6H_6 = \frac{\frac{0.005}{78} }{(\frac{0.005}{78})+ (\frac{1-0.005}{46}) }\\ _yC_6H_6 = 0.00295[/tex]

The density of benzene given is 789 kg/m^3

Molar concentration of the solution is

[tex]M = \frac{789}{0.046} = 17.15Kmol/m^3[/tex]

The concentration of benzene is the product of mole fraction and the molar concentration of the solution

[tex]M = 0.00295 * 17.152 = 0.05Kmol/m^3= 0.05mol/L[/tex]

The molar concentration of benzene is 0.05mol/L

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