MHB Finding the approximate diameter of an oil molecule

AI Thread Summary
To find the approximate diameter of an oil molecule, one can start by calculating the volume of the oil droplet using its mass and density. The volume can be determined with the formula: volume = mass/density. Once the volume is known, the area of the oil slick can be calculated using the radius of the circle it forms on the water surface. Dividing the volume by the area gives the thickness of the oil layer, which is approximately one molecule thick, allowing for the estimation of the diameter of an oil molecule. This method provides a practical approach to solving the problem.
joshuas09
Messages
1
Reaction score
0
How do you solve a question like this ? :you can obtain a rough estimate of the following simple experiment-let a droplet of oil spread out on a fairly large but smooth water surface .the resulting oil slick that forms On the surface of the water will be approximately one molecule thick. Given an oil droplet with a mass of 9.00 x 10^-7kg and a density of 918kg/m^3 that spreads out to form a circle with a radius of 41.8 cm on the water surface , what is the approximate diameter of an oil molecule?
 
Mathematics news on Phys.org
I have moved your post into its own thread in a better suited forum. Tagging this question onto an exiting thread in a probability forum would likely have resulted in your question being largely ignored.

I would begin with the relationship between density and volume. We are given mass and density of the drop of oil, can you find the volume?
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Back
Top