What is the Density of a Mixture of Two Liquids in a 1:3 Ratio?

In summary, density is a measure of how much mass is contained in a given volume and is typically measured in units of grams per cubic centimeter or kilograms per cubic meter. The density of a mixture is calculated by taking the total mass and dividing it by the total volume, or by adding the individual densities of each component multiplied by their proportions. The density of a mixture can change depending on its composition, temperature, and pressure. Specific gravity is a dimensionless value that compares the density of a substance to water at a specific temperature and is commonly used in industries such as brewing and winemaking. In everyday life, density is used in various applications, including determining sugar content, calculating the weight of shipments, and assessing the purity of precious metals
  • #1
dude123
4
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Homework Statement


In a mixture of 100 gm , 2 liquids are mixed in ratio 1:3 of their masses . If densities of liquids are 1.25gm/cc and 0.6gm/cc , find the density of mixture.


Homework Equations


D = mass/Volume


The Attempt at a Solution


mass = 100g
let m1 = x , m2 = 3x
d1 = 1.25 gm/cc , d2 = 0.6gm/cc
mass = m1+m2
100= 4x
100/4 = x
m1 = 25, m2 = 75
V1= 25/125*100 = 20cm3
V2 = 75/6*10 = 125cm3
d = mass/volume
= 100/145 = 20/29 = 0.6gm/cc

is that ^^ correct?
 
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  • #2
d = mass/volume
= 100/145 = 20/29 = 0.6gm/cc

Correct. But wright as 0.69 gm/cc
 
  • #3
ok , thank you :)
 

FAQ: What is the Density of a Mixture of Two Liquids in a 1:3 Ratio?

What is the definition of density?

Density is a measure of how much mass is contained in a given volume. It is calculated as the mass divided by the volume, and is typically measured in units of grams per cubic centimeter (g/cm3) or kilograms per cubic meter (kg/m3).

How is the density of a mixture calculated?

The density of a mixture is calculated by taking the total mass of the mixture and dividing it by the total volume of the mixture. This can also be expressed as the sum of the individual densities of each component in the mixture, multiplied by their respective proportions.

Can the density of a mixture change?

Yes, the density of a mixture can change depending on the composition and proportions of its components. Adding or removing substances from the mixture can alter its density, as well as changes in temperature and pressure.

What is the difference between density and specific gravity?

Density and specific gravity both measure the amount of mass per unit volume of a substance. However, specific gravity is a dimensionless value that compares the density of a substance to the density of water at a specific temperature. It is often used in industries such as brewing and winemaking.

How is density used in everyday life?

Density is used in a variety of everyday applications, including determining the amount of sugar in a solution (using a hydrometer), calculating the weight of a shipment based on its volume, and determining the purity of precious metals. It is also an important concept in engineering and construction, as it helps determine the strength and stability of structures.

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