Mixing two liquids with equal mass, find pressure

In summary, two liquids of densities ρ and 2ρ are mixed together in equal masses, resulting in a total volume of 3m/2ρ and a total mass of 2m. The new density, ρ', can be found by dividing the total mass by the total volume, giving ρ' = 2m/(3m/2ρ) = 2/3ρ. This may seem simple, but it is the correct answer.
  • #1
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Homework Statement


A mass of a liquid of density ρ is thoroughly mixed with an equal mass of another liquid of density 2ρ. No change of the total volume occurs.

Homework Equations


The Attempt at a Solution


i tried to use ρ=[tex]\frac{m}{v}[/tex]
then v=[tex]\frac{m}{\rho}[/tex]
therefore v1+v2=V
[tex]\frac{m}{\rho}[/tex]+[tex]\frac{m}{2\rho}[/tex]=v
[tex]\frac{3m}{2\rho}[/tex]=V
[tex]\frac{3m}{2V}[/tex]=[tex]\rho1[/tex]
[tex]\rho1[/tex] \ [tex]\rho[/tex]
in the end i get [tex]\rho1[/tex] = [tex]\frac{3}{2}[/tex][tex]\rho[/tex]

but i was wrong couldn't find out the reason ><
 
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  • #2


Total volume V = 3m/2ρ

Total mass = 2m

So new density ρ' = 2m/V = ...?
 
  • #3


oh no
!@#$%^&*()
=.=
cant think that this could be that simple ><
but anyway its the right answer
ths for solving it for me
 
Last edited:

1. What is pressure?

Pressure is defined as the force applied per unit area. In the context of mixing two liquids with equal mass, pressure refers to the force exerted by the combined liquid on the container it is contained in.

2. How do you calculate pressure?

Pressure can be calculated by dividing the force exerted by the area over which it is exerted. In this case, with two liquids of equal mass, the pressure can be calculated by dividing the combined force of the liquids by the total surface area of the container.

3. How does the mass of the liquids affect the pressure?

The mass of the liquids does not directly affect the pressure. However, the mass can indirectly affect the pressure by influencing the force exerted by the liquids on the container. A greater mass may result in a greater force and therefore a higher pressure.

4. Does temperature affect the pressure in this scenario?

In this scenario, temperature does not directly affect the pressure. However, changes in temperature can cause the liquids to expand or contract, which can indirectly affect the pressure by changing the volume of the liquids and the force they exert on the container.

5. How can pressure be changed in this experiment?

The pressure can be changed in this experiment by altering the force or surface area. This can be done by changing the mass or volume of the liquids, or by changing the size or shape of the container.

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