Question

Liquid A has a density of 0.7g/cm^3

liquid B has a density of 1.6g/cm^3

140g of liquid A is and 128g of liquid B are mixed to make liquid C

work out the density of liquid C

Answer 1

`\rho = (m)/(V) \Rightarrow V=(m)/(\rho)`
ρ - density, m - mass, V - volume

Liquid A:

`\rho=0.7 \ (g)/(cm^3) \\ m=140 \ g \\ \\ V=(140 \ g)/(0.7 \ (g)/(cm^3))=200 \ cm^3`

Liquid B:

`\rho=1.6 \ (g)/(cm^3) \\ m=128 \ g \\ \\ V=(128 \ g)/(1.6 \ (g)/(cm^3))=80 \ cm^3`

Liquid C:

`m=140 \ g + 128 \ g=268 \ g \\ V=200 \ cm^3 + 80 \ cm^3=280 \ cm^3 \\ \\ \rho=(268 \ g)/(280 \ cm^3) \approx 0.96 \ (g)/(cm^3)`

The density of liquid C is approximately 0.96 g/cm³.

Answer 2

density is defined as mass per unit volume

in this case liquids A and B with 2 different densities are mixed and we are asked to find the density of the liquid C

liquid A has a density of 0.7 g/cm³

mass of liquid A added is 140 g

therefore volume of liquid A added is - 140 g / 0.7 g/cm³ = 200 cm³

liquid B has a density of 1.6 g/cm³

mass of liquid B added is 128 g

volume of liquid B added is - 128 g / 1.6 g/cm³ = 80 cm³

the total mass of liquid C after adding liquid A and B = 140 g + 128 g = 268 g

total volume in liquid C - 200 cm³ + 80 cm³ = 280 cm³

density of liquid C = mass / volume

= 268 g / 280 cm³ = 0.957 g/cm³

density of liquid C - 0.957 g/cm³