How Big is the Oil Slick Created by Spilled Oil on a Lake?

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SUMMARY

The discussion focuses on estimating the diameter of an oil slick created by spilling one liter (1000 cm³) of oil on a lake, assuming the oil spreads uniformly to a thickness of three molecules. The oil molecules are specified to have a diameter of 2 × 10-10 m. Using the volume formula V = (h)(π)(r²), participants calculated the radius and subsequently the diameter of the slick, emphasizing the importance of unit conversion from cm³ to m³ for accurate results.

PREREQUISITES
  • Understanding of volume calculations, specifically V = (h)(π)(r²)
  • Knowledge of unit conversions between cubic centimeters and cubic meters
  • Familiarity with molecular dimensions and their implications in physical calculations
  • Basic grasp of geometry related to cylinders and their properties
NEXT STEPS
  • Research the impact of oil spills on aquatic ecosystems and the physical properties of oil
  • Learn about molecular dimensions and their relevance in fluid dynamics
  • Explore advanced volume calculations involving irregular shapes and dispersal patterns
  • Investigate environmental cleanup methods for oil spills and their effectiveness
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Students in environmental science, physics enthusiasts, and professionals involved in ecological studies or oil spill response strategies.

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Homework Statement



One liter (1000 cm3) of oil is spilled onto a smooth lake. If the oil spreads out uniformly until it makes an oil slick just three molecules thick, with adjacent molecules just touching, estimate the diameter of the oil slick. Assume the oil molecules have a diameter of 2 ✕ 10^-10m.

Homework Equations


V= (h)(pi)(r^2)

The Attempt at a Solution


[sqrt 10m^3/(3)pi(2x10^-10)] *2
 
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You have a cube of oil 1000 cm^3 and once its dispersed you'll have a cylinder of oil whose height is 3 molecules thick.

Pay attention to units conversion as the cube's volume is in cm^3 whereas the diameter of the oil molecule is in meters.
 

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