Surface area of atomized molecules?

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Homework Help Overview

The problem involves calculating the total surface area of atomized gasoline droplets, given a specific volume of gasoline and the radius of the droplets. The subject area pertains to geometry and volume calculations related to spherical shapes.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the volume of the droplets and their radius, with one participant questioning the need for additional information such as density or mole number to determine the number of molecules. Others clarify that the focus is solely on surface area.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the calculation of volume and surface area, while questions about necessary information remain unresolved.

Contextual Notes

There is a noted absence of information regarding the density of gasoline, which some participants feel is necessary for a complete understanding of the problem.

gaborfk
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I have the following problem, which seems easy, I just cannot get my brain around it...

Assume that [tex]30.0 cm^3[/tex] of gasoline is atomized into N spherical droplets, each with a radius of [tex]2.00\times 10^{-5} m[/tex]. 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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