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a fishing boat accidentally spills 15 barrels of diesel oil into the ocean. each barrel contains 42 gallons. if the oil film on the ocean is 2.5×102nm thick, how many square meters will the oil slick cover?

Sagot :

The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².

What is meant by volume?

Volume is defined as the amount of three-dimensional space enclosed by a closed surface.

  • The liter (L) is the metric system's base volume unit, with several extended volume units also available.
  • There are also many metric volume units based on the a cubic length dimension, including such cubic meters or cubic centimeters. Gallons and ounces are examples of imperial volume units.

Now, as per the given question;

First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:

15×42 gal = 630 gal

This volume must be converted to square meters:

V = 630 gal × (0.00379 m³/ gal

V = 2.4 m³

The thickness (height) of a oil film in meters is required:

h = 250 nm × (m/10⁻⁹nm)

h = 2.5 × 10⁻⁷m

The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.

A  = V/h

A  = 2.4 m³/2.5 × 10⁻⁷m

A = 9.6 × 10⁶ m²

Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².

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