Calculate Specific Gravity of Mixture with 5.25L Antifreeze & 4.2L Water

In summary, to find the specific gravity of the mixture, you would first calculate the mass of the antifreeze solution and the water, using their specific gravities and volumes. Then, add these masses together to find the total mass of the mixture. Finally, divide the total mass by the volume of the mixture to find the specific gravity of the mixture.
  • #1
SnowOwl18
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----If 5.25 liter of antifreeze solution (specific gravity = 0.820) is added to 4.20 liter of water to make a 9.45 liter mixture, what is the specific gravity of the mixture?-----

I know that Specific gravity = density of substance/ density of water. The specific gravities of the antifreeze solution and the water are known...but I have no idea how to find the specific gravity of the mixture. Do I multiply the specific gravity by how many liters of the substance there is and then add the together? Thanks for any help.
 
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  • #2
Yes. Density of substance = mass over volume. You can think of specific gravity = density by taking your unit of mass to be the mass of one liter of water. Since the information you are given is specific gravity, that simplifies everything.

The 5.25 liter solution has mass= 5.25*0.820 mass units. The 4.20 liters of water has mass 4.20 mass units. Add those to find the mass of the mixture and then divide by its volume.
 
  • #3
Thank you! Makes more sense now. :)
 

1. How do you calculate the specific gravity of a mixture?

To calculate the specific gravity of a mixture, you need to know the masses of each component and the total volume of the mixture. The specific gravity is then calculated by dividing the density of the mixture by the density of water at a specific temperature. This can be expressed as: Specific Gravity = (Mixture Density)/(Water Density at Specific Temperature)

2. What is the formula for calculating specific gravity?

The formula for calculating specific gravity is: Specific Gravity = (Mixture Density)/(Water Density at Specific Temperature). This formula takes into account the density of the mixture and the density of water at a specific temperature.

3. How do you measure the density of a mixture?

The density of a mixture can be measured by taking the mass of the mixture and dividing it by the volume of the mixture. This will give you the density in units of mass/volume, such as g/mL or kg/m^3. You can also use a density meter or hydrometer to measure the density of a mixture.

4. What is the density of water at a specific temperature?

The density of water varies depending on the temperature. At 4 degrees Celsius, the density of water is 1 g/mL. However, at other temperatures, the density may be slightly different. It is important to use the correct density of water at the specific temperature when calculating specific gravity.

5. How do you convert specific gravity to a percentage?

To convert specific gravity to a percentage, you can use the following formula: Percentage = Specific Gravity x 100. For example, if the specific gravity of a mixture is 1.25, the percentage would be 125%. This is commonly used in industries such as brewing and winemaking to determine alcohol content based on specific gravity measurements.

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