What is the density of a mixture of 1.5m3 of water and 0.5m3 of alcohol of density 800kg/m3? (Density of water = 1000kgm^-3 )
total mass: 1500+400 kg
total volume: 1.5 + 0.5 m^3
density = 1900/2 kg/m^3
To find the density of the mixture, we'll first calculate the total mass and then divide it by the total volume.
Step 1: Calculate the mass of water:
Given that the volume of water is 1.5 m^3 and the density of water is 1000 kg/m^3.
Mass of water = volume of water * density of water
Mass of water = 1.5 m^3 * 1000 kg/m^3
Mass of water = 1500 kg
Step 2: Calculate the mass of alcohol:
Given that the volume of alcohol is 0.5 m^3 and the density of alcohol is 800 kg/m^3.
Mass of alcohol = volume of alcohol * density of alcohol
Mass of alcohol = 0.5 m^3 * 800 kg/m^3
Mass of alcohol = 400 kg
Step 3: Calculate the total mass of the mixture:
Total mass of the mixture = mass of water + mass of alcohol
Total mass of the mixture = 1500 kg + 400 kg
Total mass of the mixture = 1900 kg
Step 4: Calculate the total volume of the mixture:
Total volume of the mixture = volume of water + volume of alcohol
Total volume of the mixture = 1.5 m^3 + 0.5 m^3
Total volume of the mixture = 2 m^3
Step 5: Calculate the density of the mixture:
Density of the mixture = total mass of the mixture / total volume of the mixture
Density of the mixture = 1900 kg / 2 m^3
Density of the mixture = 950 kg/m^3
Therefore, the density of the mixture of water and alcohol is 950 kg/m^3.