Consider a mixture of 50% water and 50% of mass ethanol, whose relative density is equal to 0.9138. Get the mass of ethanol contained in 100m3 of mixture.
the mixture is 50-50 water-ethanol by mass
... so the density is the average of water and ethanol
To find the mass of ethanol contained in 100m3 of the mixture, we can follow these steps:
Step 1: Calculate the mass of the mixture.
To calculate the mass of the mixture, we need to know its density. Since the relative density of the mixture is given as 0.9138, it means the density of the mixture is 0.9138 times the density of water.
The density of water is approximately 1000 kg/m3, so the density of the mixture is:
Density of mixture = 0.9138 * 1000 kg/m3 = 913.8 kg/m3
The mass of the mixture is then:
Mass of mixture = Density of mixture * Volume of mixture
Mass of mixture = 913.8 kg/m3 * 100 m3 = 91380 kg
Step 2: Calculate the mass of ethanol in the mixture.
Since the mixture is 50% water and 50% ethanol, we can assume that 50% of the mass of the mixture is ethanol.
Mass of ethanol = 50% of Mass of mixture
Mass of ethanol = 0.5 * 91380 kg = 45690 kg
Therefore, the mass of ethanol contained in 100m3 of the mixture is 45690 kg.
To calculate the mass of ethanol in 100m³ of the mixture, we need to consider the relative density and the percentage of ethanol in the mixture.
Step 1: Calculate the mass of the mixture.
Given that the mixture is 50% water and 50% ethanol, we can assume the densities of water and ethanol are 1 g/cm³ and 0.9138 g/cm³, respectively.
The total mass of the mixture can be calculated as follows:
Mass of Mixture = (Volume of Mixture) x (Density of Mixture)
Since we have 100m³ of the mixture, and the density of the mixture is not provided, we can use a weighted average to calculate it:
Density of Mixture = (50% x Density of Water) + (50% x Density of Ethanol)
Density of Mixture = (0.5 x 1 g/cm³) + (0.5 x 0.9138 g/cm³)
Now, we can calculate the mass of the mixture:
Mass of Mixture = (Volume of Mixture) x (Density of Mixture)
= 100m³ x (Density of Mixture)
Step 2: Calculate the mass of ethanol in the mixture.
Since the mixture is 50% ethanol, the mass of ethanol can be obtained by multiplying the mass of the mixture by 0.5 (50%):
Mass of Ethanol = Mass of Mixture x 0.5
Therefore, to find the mass of ethanol in 100m³ of the mixture, we need to follow these steps:
1. Calculate the density of the mixture using the weighted average formula.
2. Calculate the mass of the mixture by multiplying its density by the volume.
3. Calculate the mass of ethanol by multiplying the mass of the mixture by 0.5.
Note: Make sure to convert the units as necessary to maintain consistency throughout the calculations.