Three liters (3000 cm3) of oil is spilled onto a smooth lake. If the oil spreads out uniformly until it makes a circular oil slick just one molecule thick, with adjacent molecules just touching, estimate the diameter of the oil slick. Assume the oil molecules are round with a diameter of 2 x 10-10 m.

4.38 km

Explanation:

Volume of oil slick, V = Area of oil slick, A × thickness of 1 molecule, d'

Since the oil slick spreads out in a circular area, it has the area of a circle.

So, V = πd²/4 × d'

d² = 4V/πd'

d = 2√(V/πd') where d = diameter of oil slick.

Since V = 3000 cm³ = 3000 × 10⁻⁶ m³ = 3 × 10⁻³ m³ and d' = 2 × 10⁻¹⁰ m

So, d = 2√(3 × 10⁻³ m³/(π × 2 × 10⁻¹⁰ m))

= 2√(3 × 10⁻³ m³/(6.283 × 10⁻¹⁰ m))

= 2√(0.477 × 10⁷ m²) = 2√(4.775 × 10⁶ m²)

=  2 × 2.19 × 10³ m

= 4.38 × 10³ m

= 4.38 km

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explanation:

when insulating materials rub against each other, they may become electrically charged . electrons , which are negatively charged, may be 'rubbed off' one material and on to the other. the material that gains electrons becomes negatively charged. the material that loses electrons is left with a positive charge.