1.5 m3 of water is mixed with 0.50 m3 of alcohol. Density of water is 1000 kg m–3 and density of alcohol is 800 kg m–3.
Whats the density of the mixture with volume 2.0 m3?
To find the density of the mixture, we need to calculate the total mass and volume of the mixture.
The mass of water can be found using the formula mass = density x volume. Given that the density of water is 1000 kg/m^3 and the volume of water is 1.5 m^3, the mass of water is:
Mass of water = 1000 kg/m^3 x 1.5 m^3 = 1500 kg
Similarly, the mass of alcohol can be found using the same formula. Given that the density of alcohol is 800 kg/m^3 and the volume of alcohol is 0.50 m^3, the mass of alcohol is:
Mass of alcohol = 800 kg/m^3 x 0.50 m^3 = 400 kg
The total mass of the mixture is the sum of the masses of water and alcohol:
Total mass = Mass of water + Mass of alcohol
= 1500 kg + 400 kg
= 1900 kg
The total volume of the mixture is the sum of the volumes of water and alcohol:
Total volume = Volume of water + Volume of alcohol
= 1.5 m^3 + 0.50 m^3
= 2.0 m^3
Finally, we can find the density of the mixture using the formula density = mass / volume. Substituting the values, we have:
Density of the mixture = Total mass / Total volume
= 1900 kg / 2.0 m^3
= 950 kg/m^3
Therefore, the density of the mixture with a volume of 2.0 m^3 is 950 kg/m^3.
To find the density of the mixture, we need to determine the total mass of the mixture.
First, let's calculate the mass of water:
Given that the volume of water is 1.5 m³ and the density of water is 1000 kg/m³, we can use the formula:
Mass of water = Volume of water * Density of water
Mass of water = 1.5 m³ * 1000 kg/m³
Mass of water = 1500 kg
Next, let's calculate the mass of alcohol:
Given that the volume of alcohol is 0.50 m³ and the density of alcohol is 800 kg/m³, we can use the formula:
Mass of alcohol = Volume of alcohol * Density of alcohol
Mass of alcohol = 0.50 m³ * 800 kg/m³
Mass of alcohol = 400 kg
Now, let's calculate the total mass of the mixture:
Total mass of mixture = Mass of water + Mass of alcohol
Total mass of mixture = 1500 kg + 400 kg
Total mass of mixture = 1900 kg
Finally, let's calculate the density of the mixture:
Density of mixture = Total mass of mixture / Volume of mixture
Density of mixture = 1900 kg / 2.0 m³
Density of mixture = 950 kg/m³
Therefore, the density of the mixture with a volume of 2.0 m³ is 950 kg/m³.