1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m–3 and the density of alcohol is 800 kg m–3.
What is the density of the mixture with volume 2.0 m3?

Respuesta :

Mass of water = 1.5*1000=1500kg
Mass of alcohol= 0.5*800=400kg
Total mass of mixture= 400kg+1500kg=1900kg
Density= 1900kg/2= 950kg/m^3

The density of the mixture containing 1.5 m³ of water and 0.50 m³ alcohol is 950 Kgm¯³

Density is simply defined as the mass per unit volume of the substance i.e

Density = mass / volume

To obtain the density of the mixture, we'll begin by calculating the mass of the water and alcohol.

For Water:

Volume of water = 1.5 m³

Density of water = 1000 Kgm¯³

Mass of water =?

Mass = Density × Volume

Mass of water = 1000 × 1.5

Mass of water = 1500 Kg

For Alcohol:

Volume of alcohol = 0.50 m³

Density of alcohol = 800 Kgm¯³

Mass of alcohol =?

Mass = Density × Volume

Mass of alcohol = 800 × 0.5

Mass of alcohol = 400 Kg

Next, we shall determine the mass of the mixture.

Mass of water = 1500 Kg

Mass of alcohol = 400 Kg

Mass of mixture =?

Mass of mixture = (Mass of water) + (Mass of alcohol)

Mass of mixture = 1500 + 400

Mass of mixture = 1900 Kg

Finally, we shall determine the density of the mixture.

Mass of mixture = 1900 Kg

Volume of mixture = 2 m³

Density of mixture =?

Density = mass / volume

Density of mixture = 1900 / 2

Density of mixture = 950 Kgm¯³

Therefore, the density of the mixture is 950 Kgm¯³

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