Assume that a raindrop has a volume of 3.48 cm3. If you had an Avogadro's number of raindrops that just filled a cubic box. What would be the edge of the length of the box measured in kilometers?

Question

Chemistry

Ty Dunn

13 June, 06:20

Assume that a raindrop has a volume of 3.48 cm3. If you had an Avogadro's number of raindrops that just filled a cubic box. What would be the edge of the length of the box measured in kilometers?

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Ethen Gilbert · Answer 1

Answer is: edge of the length of the box measured is 1280,57 kilometers.

V (raindrop) = 3,48 cm³.

V (cubic box) = 3,48 cm³ · 6,023·10²³.

V (cubic box) = 2,1·10²⁴ cm³.

V (cubic box) = 2,1·10²⁴ cm³ : 10¹⁵.

V (cubic box) = 2,1·10⁹ km³.

r (cubic box) = ∛2,1·10⁹ km³.

r (cubic box) = 1280,57 km.