Question

A typical sugar cube has an edge length of 1.0 cm. If you had a cubical box that contained 1.7 mol of sugar cubes, what would its edge length be? (One mole = 6.02 x 1023 units.)

and

A severe thunderstorm dumped 2.6 in of rain in 30 min on a town of area 32 km2. What mass of water (in kg) fell on the town? One cubic meter of water has a mass of 103 kg.

Answer 1

data.
-sugar cube edge of length = 1.0cm
-moles of sugar cubes =1.7moles
-edge length = unknown
-one mole =6.02 × 10^23 (consitant)
solution
let length of the edgebox =Y
hence,from volume of cubical box,V= 1.7mole of sugar cube × 6.02 × 10^23 × 1cm
V = 1.0234 × 10^24cm^3
from V = Y^3
Y^3 = 10234 × 10^20
=2.17 × 10^21 Km