a solution is made using 200.0 ml of methanol (density 0.7920 g/ml) and 567.1 ml of water (density 1.000 g/ml). what is the mass percent of the methanol?

Respuesta :

The mass percent of the methanol is 21.83%.

The parameter

  • Methanol volume = 200.0 ml
  • The density of methanol = 0.7920 g/ml
  • Water volume = 567.1 ml
  • The density of water = 1.000 g/ml

Calculate the mass of methanol and water.

[tex]\rho = \frac{m}{V}[/tex]

m = ρ × V

Where m is a mass (kg), ρ is the density (kg/m³), and V is volume (m³)

  • m₁ = mass of methanol = 0.7920×200.0
    m₁ = 158.4 grams
  • m₂ = mass of water = 1.000×567.1
    m₂ = 567.1 grams

Mass percent of the methanol

= [tex]\frac{mass \: of \: methanol}{mass \: of \: solution} \times 100\%[/tex]

= [tex]\frac{m_1}{m_1 + m_2} \times 100\%[/tex]

= [tex]\frac{158.4}{158.4 + 567.1} \times 100\%[/tex]

= [tex]\frac{158.4}{725.5} \times 100\%[/tex]

= 0.2183 × 100%

= 21.83%

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