Question

Estimate the number of water droplets, each of radius 0.05 mm, in a cloud that will provide 5 mm of rainfall for metropolitan (urban) Halifax.

Answer 1

number of raindrops = 2.23 ×
`10^(18)`

Step-by-step explanation:

given data

radius = 0.05 mm

rainfall = 5 mm

to find out

number of water droplets

solution

we know here Area of metropolitan (urban )Halifax

approx = 234.72 km²

= 234.72 ×
`10^(12)` mm²

and

Total volume of rainfall will be here

Total volume of rainfall = 5 × 234.72 ×
`10^(12)`

Total volume of rainfall = 1.17 ×
`10^(15)` mm³

and

Volume of each raindrop will be

Volume of each raindrop =
`(4)/(3) \pi r^3`

Volume of each raindrop =
`(4)/(3) \pi (0.05)^3`

Volume of each raindrop = 5.23 ×
`10^(-4)` mm³

so

number of raindrops for this volume of water is

number of raindrops =
`(1.17*10^(15))/(5.23*10^(-4))`

number of raindrops = 2.23 ×
`10^(18)`