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?
Total mass=1.5×10^3+0.5×800=1900
Total volume=1.5+0.5=2
Density=total mass÷total volume=1900÷2=950
first find the mass of both water and alcohol seperatly by using density equation and then add these masses and put it in density formula by using the volume 2m3
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To find the density of the mixture, we first need to determine the total mass of the mixture. Since the density is defined as mass per unit volume, we can calculate the mass by multiplying the volume by the density.
For water:
Density of water = 1000 kg/m^3
Volume of water = 1.5 m^3
Mass of water = Density * Volume = 1000 kg/m^3 * 1.5 m^3 = 1500 kg
Similarly, for alcohol:
Density of alcohol = 800 kg/m^3
Volume of alcohol = 0.50 m^3
Mass of alcohol = Density * Volume = 800 kg/m^3 * 0.50 m^3 = 400 kg
Now, to find the total mass of the mixture, we add the mass of water and alcohol:
Total mass of mixture = Mass of water + Mass of alcohol = 1500 kg + 400 kg = 1900 kg
Finally, we can calculate the density of the mixture by dividing the total mass by the given volume:
Density of mixture = Total mass / 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.