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.

Respuesta :

Answer:

number of raindrops = 2.23 ×[tex]10^{18}[/tex]

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 ×[tex]10^{12}[/tex] mm²

and

Total volume of rainfall  will be here

Total volume of rainfall = 5 × 234.72 ×[tex]10^{12}[/tex]

Total volume of rainfall = 1.17 ×[tex]10^{15}[/tex] mm³

and

Volume of each raindrop  will be

Volume of each raindrop  = [tex]\frac{4}{3} \pi r^3[/tex]

Volume of each raindrop  = [tex]\frac{4}{3} \pi (0.05)^3[/tex]

Volume of each raindrop  = 5.23 ×[tex]10^{-4}[/tex] mm³

so

number of raindrops for this volume of water is

number of raindrops = [tex]\frac{1.17*10^{15}}{5.23*10^{-4}}[/tex]

number of raindrops = 2.23 ×[tex]10^{18}[/tex]