Step-by-step explanation:
To find the density of the mixture, we need to first find the total mass and volume of the mixture.
The mass of 60 cm³ of milk can be found using its density:
mass of milk = volume of milk x density of milk
mass of milk = 60 cm³ x 1.04 g/cm³
mass of milk = 62.4 g
Similarly, the mass of 20 cm³ of water can be found using its density:
mass of water = volume of water x density of water
mass of water = 20 cm³ x 1.0 g/cm³
mass of water = 20 g
The total mass of the mixture is:
total mass = mass of milk + mass of water
total mass = 62.4 g + 20 g
total mass = 82.4 g
The total volume of the mixture is:
total volume = volume of milk + volume of water
total volume = 60 cm³ + 20 cm³
total volume = 80 cm³
The density of the mixture is:
density = total mass/total volume
density = 82.4 g/80 cm³
density = 1.03 g/cm³ (rounded to two decimal places)
Therefore, the density of the mixture is 1.03 g/cm³.