What is the density of mixture of 1.5 m³ of water, 0.5 m³ of alcohol of density 800kg/m³? (density of water= 1000kg/m-³)
Very bad
To find the density of the mixture, you need to consider the total mass and total volume. Here are the steps:
Step 1: Calculate the mass of water:
Since the density of water is given as 1000 kg/m³ and the volume of water is 1.5 m³, you can calculate the mass of water using the formula:
Mass of water = Density of water × Volume of water
Mass of water = 1000 kg/m³ × 1.5 m³
Mass of water = 1500 kg
Step 2: Calculate the mass of alcohol:
Since the density of alcohol is given as 800 kg/m³ and the volume of alcohol is 0.5 m³, you can calculate the mass of alcohol using the formula:
Mass of alcohol = Density of alcohol × Volume of alcohol
Mass of alcohol = 800 kg/m³ × 0.5 m³
Mass of alcohol = 400 kg
Step 3: Calculate the total mass of the mixture:
Now that you have the masses of water and alcohol, you can find the total mass of the mixture by adding them up:
Total mass of mixture = Mass of water + Mass of alcohol
Total mass of mixture = 1500 kg + 400 kg
Total mass of mixture = 1900 kg
Step 4: Calculate the total volume of the mixture:
The total volume of the mixture is simply the sum of the volumes of water and alcohol:
Total volume of mixture = Volume of water + Volume of alcohol
Total volume of mixture = 1.5 m³ + 0.5 m³
Total volume of mixture = 2 m³
Step 5: Calculate the density of the mixture:
Finally, you can calculate the density of the mixture using the formula:
Density of mixture = Total mass of mixture / Total volume of mixture
Density of mixture = 1900 kg / 2 m³
Density of mixture = 950 kg/m³
Therefore, the density of the mixture of 1.5 m³ of water and 0.5 m³ of alcohol is 950 kg/m³.
To find the density of the mixture, we need to first determine the total mass of the mixture and then divide it by the total volume.
The mass of water can be calculated using its density and volume:
Mass of water = Density of water × Volume of water
Substituting the given values:
Mass of water = 1000 kg/m³ × 1.5 m³
Similarly, the mass of alcohol can be calculated using its density and volume:
Mass of alcohol = Density of alcohol × Volume of alcohol
Substituting the given values:
Mass of alcohol = 800 kg/m³ × 0.5 m³
Now, we can find the total mass of the mixture by adding the masses of water and alcohol:
Total mass of the mixture = Mass of water + Mass of alcohol
Finally, the density of the mixture can be calculated by dividing the total mass of the mixture by its total volume:
Density of the mixture = Total mass of the mixture / Total volume of the mixture
you end up with 2 cubic meters of booze
mass = 1.5 * 1000 + 0.5 * 800 = 1900 kg
1900 kg / 2 m^3 = 950 kg/m^3