Find the area of the resulting slick homework

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Homework Help Overview

The problem involves calculating the area of an oil slick resulting from a 1.0 cubic meter oil spill, with the assumption that the slick is one molecule thick and that each molecule occupies a cube measuring 0.50 mm on a side. There is some confusion regarding the dimensions and interpretation of the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between volume, area, and depth, with some suggesting formulas to use. There are questions about the dimensions of the molecules and whether the thickness should be interpreted differently. Some participants express confusion about the problem's wording and its implications.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants have offered guidance on how to approach the problem using volume and area relationships, while others have raised concerns about the terminology used in the problem statement.

Contextual Notes

There is a discrepancy in the dimensions mentioned (0.50 mm vs. 0.50 micrometers), and some participants question the accuracy of the problem's wording. The original poster and others express uncertainty about how to begin solving the problem.

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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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Are u sure it's not 0.5 nm??

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

Daniel.
 
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?
 
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.
 
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
 
The Area of a circle of radius r is \pir^2. The volume of a disk of radius r and "height" h is \pi r^2h. 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.)
 
Hold it,Halls,they said the molecules are cubes,not rectangular cylinders...

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

Like this?
Because in the back of the book the answer is 2.0E6 m^2
 
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.
 

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