Surface area of atomized molecules?

AI Thread Summary
To calculate the total surface area of atomized gasoline droplets, first determine the volume of a single droplet using its radius. The total volume of the droplets must equal the initial volume of gasoline, allowing for the calculation of the number of droplets. The surface area can then be found using the formula for the surface area of a sphere, multiplied by the total number of droplets. The density or mole number of gasoline is not necessary for this calculation, as the focus is solely on the surface area. Understanding that "atomize" refers to breaking the liquid into small droplets is crucial in this context.
gaborfk
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I have the following problem, which seems easy, I just cannot get my brain around it...

Assume that 30.0 cm^3 of gasoline is atomized into N spherical droplets, each with a radius of 2.00\times 10^{-5} m. What is the total surface area of these N spherical droplets?

How do I find the number of gasoline molecules in a given amount of liquid, when I have the size of the radius??

Thank you
 
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You know the radius of each drop so you can calculate the volume of each drop. You also know the total volume of N drops. Therefore ... ! :-)
 
I though I would need the density or the mole number for gasoline in order to get an accurate number. Which was not given.

Thank you!
 
They are only asking for the surface area - you don't need to find the number of molecules. "Atomize" does NOT mean you separate the liquid into its atomic parts. It just means you break it up into small droplets!
 
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