A uniform mixture consist of 30cm3 of water and 40cm3of ethanol. if the densities of water and ethanol are 1g/cm3 and 0.85g/cm3 respectively. determine the densities of the mixture.

Respuesta :

The total density of the mixture is 0.485 g/cm^3

What is density:

  • The density, of a substance is its mass per unit volume.
  • Density is denoted with symbol ρ

The formula of density:

  • ρ = m / v

here,

volume of water, v1 = 30 cm^3

volume of ethanol, v2 = 40 cm^3

density of water, ρ1 = 1 g/cm^3

density of ethanol, ρ2 = 0.85 g/cm^3

so, according to formula,

for water

ρ1 = m1 / v1

m1 = ρ1 * v1

m1 = (1) * (30)

m1 = 30 grams

for ethanol

ρ2 = m2 / v2

m2 = ρ2 * v2

m2 = (0.85) * (40c)

m2 = 34 grams

total mass, M= m1 + m2

M= 30 + 34

M= 64 grams

total volume, V= v1 + v2

V= 30 + 40

V= 70 g/cm^3

Density of the mixture:

ρ = M / V

ρ = 34 / 70

ρ = 0.485 g/cm^3

Hence The total density of the mixture is 0.485 g/cm^3

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