Find the area of the resulting slick homework

In summary, the problem gives us the volume of 1.0 cubic meter of oil spilled into the ocean and asks us to find the area of the resulting slick assuming it is one molecule thick. Each molecule is represented as a cube with a side length of 0.50 mm. We can use the formula for finding the area of a circle and the volume of a disk to solve for the radius, which turns out to be 1.5708E6 m^2. However, the book's answer of 2.0E6 m^2 is incorrect as it does not take into account the shape of the molecules being cubes. The correct answer for the area of the slick is 2.0 E9 mm^
  • #1
dg_5021
80
0
Suppose 1.0 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick, and that each molecule occupies a cube 0.50mm on a side.

I do not get this problem at all how do u start please help?
 
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  • #2
Are u sure it's not 0.5 nm??

HINT:Volume=Area*height,assuming cubes making up a rectangular paralelipiped.

Daniel.
 
  • #3
They threw the term "molecule" into confuse you a bit. All they are asking is how large an area is this oil going to cover given it is covered by little blocks that are 0.50 mm on a side? You have to assume the depth of this oil is only 1 block deep, or 0.50 mm deep.

You can also assume the 1 cubic meter of oil has the same volume regardless of what shape it's in. So the volume of the oil slick after it is spread out is equal to the volume of 1 cubic meter.

Does that help?
 
  • #4
They might have meant "macromolecule layer".Oil is made up of various types of organic compounds including many-atom hydrocarbons,the trick is that they are amorphic,a very viscous fluid...a very soft solid... :confused:
So even "layer" is fuzzy.

Anyway,the wording is misleading and profoundly incorrect.

Daniel.
 
  • #5
Suppose 1.0 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick, and that each molecule occupies a cube 0.50 micrometer on a side.

I do not get this problem at all how do u start please help? sorry i meant micro
 
  • #6
The Area of a circle of radius r is [itex]\pir^2[/itex]. The volume of a disk of radius r and "height" h is [itex]\pi r^2h[/itex]. The oil slick is a disk of height 0.50 micrometer and volume 1.0 cubic meter so what is the radius?
(First convert 0.50 micrometers to meters. Then plug the numbers into the equation and solve for r.)
 
  • #7
Hold it,Halls,they said the molecules are cubes,not rectangular cylinders...

Daniel.
 
  • #8
r= ((3.1416)(5E5)) = 1.5708E6 m^2

Like this?
Because in the back of the book the answer is 2.0E6 m^2
 
  • #9
help please?
 
  • #10
help please?
 
  • #11
Volume = Area x Depth
so Area = Volume/Depth

Depth is 0.5 mm

Volume is 1 m^3 (or 1000mm*1000mm*1000mm) = 1.0 E9 cubic mm (1.0 E9 mm^3).

So Area = 1.0 E9 mm^3 / 0.5 mm = 2.0 E9 mm^3

Book is incorrect.
 

What is the meaning of "find the area of the resulting slick homework"?

The phrase "find the area of the resulting slick homework" is a common way to describe a mathematical problem that involves calculating the total surface area of a liquid spill or slick on a surface. This can be a common problem in environmental science or engineering, where the area of a slick may represent the amount of pollution or contamination present.

How do I find the area of a slick?

To find the area of a slick, you will need to measure the length and width of the slick using a ruler or measuring tape. Then, use the formula for the area of a rectangle (length x width) to calculate the total surface area of the slick. If the slick is not a perfect rectangle, you can break it down into smaller rectangles and add their areas together to get the total area of the slick.

What units should I use to measure the slick?

The units you use to measure the slick will depend on the units used in the given problem or experiment. It is important to be consistent with units, so if the problem gives measurements in centimeters, then your resulting area should be in square centimeters. If you are unsure of the units, make sure to clarify with your instructor or use a conversion tool to convert to a standard unit of measurement.

Why is finding the area of a slick important?

Finding the area of a slick is important because it can help determine the extent of pollution or contamination in an area. It can also be used to calculate the amount of cleanup or remediation needed. Additionally, finding the area of a slick can help scientists track the spread and movement of spills or slicks over time.

What are some real-world applications of finding the area of a slick?

Finding the area of a slick has many real-world applications, including environmental clean-up efforts, assessing the impact of oil spills on marine life, and measuring the effectiveness of pollution prevention strategies. It is also used in engineering and construction to plan for potential spills or leaks and to design effective containment systems.

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