Submerged object/density

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In summary, a submerged object is an object that is partially or completely immersed in a liquid. Its density is determined by its mass and volume and is important because it affects its ability to float or sink. Factors such as shape, material, and temperature and salinity of the liquid can affect its density. The density of a submerged object also impacts its buoyancy, with less dense objects floating and more dense objects sinking. This is known as Archimedes' principle.
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myoplex11
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Homework Statement


an alloy of copper and gold displaces 1.935 cm^3 of water. It has a mass of 33.44g. If gold has a density of 19.3g/cm^3 and copper has a density of 8.9g/cm^3, what is the percent of gold by mass in the object


Homework Equations


mg=pVg


The Attempt at a Solution



m alloy= p alloy*V alloy
p alloy = m/V =33.44/1.935 =17.3g/cm^3
i am stuck at this point i found the density of the alloy what do i do next?
 
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  • #2
What happened to the copper part?
 
  • #3


I would suggest that you use the given information and equations to calculate the density of the alloy in terms of the densities of copper and gold. Then, you can set up a proportion to solve for the percent of gold in the alloy.

First, calculate the volume of gold and copper in the alloy using the given displacement of 1.935 cm^3.

Volume of gold = (density of gold) * (volume of alloy) = (19.3 g/cm^3) * (1.935 cm^3) = 37.315 g
Volume of copper = (density of copper) * (volume of alloy) = (8.9 g/cm^3) * (1.935 cm^3) = 17.2165 g

Then, set up a proportion to find the percent of gold in the alloy:

(Percent of gold) / (Percent of copper) = (Volume of gold) / (Volume of copper)

Solving for the percent of gold, we get:

Percent of gold = (Volume of gold) / (Volume of copper) * (Percent of copper) = (37.315 g) / (17.2165 g) * (100%) = 216.7%

Therefore, the alloy is composed of approximately 216.7% gold and 100% - 216.7% = 83.3% copper. This may seem counterintuitive, but it is due to the fact that the alloy is denser than pure gold or copper.
 

What is a submerged object?

A submerged object is an object that is partially or completely immersed in a liquid, such as water. This can include ships, submarines, and other man-made structures, as well as natural objects like rocks and underwater formations.

How is the density of a submerged object determined?

The density of a submerged object is determined by its mass and volume. The mass of the object can be measured using a scale, and the volume can be determined by measuring the amount of water displaced when the object is submerged.

Why is the density of a submerged object important?

The density of a submerged object is important because it affects its ability to float or sink in a liquid. Objects with a higher density than the liquid will sink, while objects with a lower density will float.

What factors can affect the density of a submerged object?

The density of a submerged object can be affected by its shape, material, and the temperature and salinity of the surrounding liquid. For example, a hollow object will have a lower density than a solid object of the same material.

How does the density of a submerged object impact its buoyancy?

The density of a submerged object is directly related to its buoyancy. If the object is less dense than the surrounding liquid, it will experience an upward force, or buoyant force, which will cause it to float. If the object is more dense, it will sink. This principle is known as Archimedes' principle.

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