This is the problem:
"Suppose 300 cubic meters 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 µm on a side."
Please help!
This is the problem:
"Suppose 300 cubic meters 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 µm on a side."
Please help!
(This is from the other thread.)
No. The area of the spill is not 600 $\displaystyle m^2$. Keep track of your units.
The volume of the spill is
$\displaystyle V = \text{Area} \times \text{thickness}$
So
$\displaystyle \text{Area} = \frac{V}{\text{thickness}}$
We know the volume of the spill and we know that the spill is one molecule thick, so
$\displaystyle \text{Area} = \frac{300~m^3}{0.50~\mu m}$
as TKHunny said.
Now get the units on top and bottom to be similar:
$\displaystyle \frac{300~m^3}{0.50~\mu m} \cdot \frac{1~\mu m}{1 \times 10^{-6}~m} = \frac{300~m^3}{0.5 \times 10^{-6}~m} = 600 \times 10^6~m^2 = 6 \times 10^8~m^2$
Always always always keep track of your units!
-Dan