Question

A science teacher gives a student four beakers, each with a different liquid inside. The table
shows the volume and mass of each liquid. When the student mixes all four liquids in to one
beaker, each liquid separates into a different layer. Which of the following lists the layers of
the liquids in the beaker from the top to the bottom? *
(17 points)
O corn syrup, dish soap, water, vegetable oil
O corn syrup, water, dish soap, vegetable oil
O vegetable oil, water, dish soap, corn syrup
O vegetable oil, dish soap, water, corn syrup

Answer 1

Answer:

C. vegetable oil, water, dish soap, corn syrup

Explanation

For the table, to find density its mass divided by volume. Once you do that, you put from least to greatest and you get the density for each liquid.

Answer 2

The Archimedes principle we can find that the order of separation of the liquids is according to their density and the correct answer from bottom to top is:

• Corn syrup, water, dish soap, vegetable oil  

Archimedes' principle says that the force in thrust is equal to the weight of the dislodged liquid

           B = $\rho_{lquid}\ g\ V_{liqid}$

Where ρ, V are the density and volume of liquif anf g the acceleration gravity

When two or more substances that do not dissolve are placed together, the Archimedes' principle separates them, in the adjoint we can see a diagram of the force between two substances

               B - W = 0

Density is a very useful concept, it is defined by the relationship between the mass of a body and its volume

             $\rho = \frac{m}{V}$

             m = ρ V

We substitute

             ρ₁ g V₁ = ρ₂ g V₂

             $\frac{\rho_1}{\rho_2} = \frac{V_2}{V_1}$

Let's analyze this equation

• If the density of one liquid is less than that of the other, the thrust is greater than the weight and the liquid with a lower density floats.

• If the density of the liquid is greater than that of the other, its weight is greater than the thrust for which it sinks

We can see that the relationship of the densities establishes a way of knowing what liquid floats.

We look for the density of the liquid in tables

substance       density (kg / m³)

 Corn syrup        1420

 Water                  995 to 1000

 Dish soap            910 to 950

 Vegetable oil      920

Based on this table of densities, the liquids will be balanced according to their densities.

•   Vegetable oil  <  Liquid soap < Water < Corn syrup

In conclusion Using Archimedes' principle we find that the order of separation of the liquids is according to their density and the correct  answer from bottom to the top  is:

• corn syrup, water, dish soap, vegetable oil

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