Surface area of N spherical droplets?

AI Thread Summary
To determine the total surface area of N spherical droplets of gasoline, each with a radius of 2.00 x 10^-3 m, the surface area of a single droplet is calculated to be approximately 5 x 10^-9 m^2. The volume of each droplet is also calculated at about 3.35 x 10^-14 m^3. To find the total surface area of all N droplets, one can multiply the surface area of a single droplet by the total number of droplets (N). The discussion emphasizes the importance of using the known surface area of one droplet to compute the total for all droplets, suggesting a straightforward multiplication approach. Additionally, there is a reminder to post homework-related questions in the appropriate section of the forum for better assistance.
saber1357
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I have the following problem
Assume that 30.0 cm^3 of gasoline is atomized into N spherical droplets, each with a radius of 2.00 x 10^-3 m. What is the total surface area of these N spherical droplets?
I calculated the surface area of each atom to be 5x10^-9 m^2.
I also calculated the volume of each droplet to be 3.35x10^-14 m^3.
However, my mind can't seem to relate these numbers to my task. Any help is GREATLY appreciated.
 
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First things first. Next time, please post this in the correct Homework Help section. This forum is for general academic advice not pertaining homework problems.:smile:

Ok, so you know you have N atoms each with a known surface area. If you know the surface area of one, what is stopping you from finding the total surface area of all of them?

HINT: What would be the surface area of 2 droplets? 3? 4? ...
 

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