A severe thunderstorm dumped 2.0 in of rain in 30 min on a town of area 22 km2. what mass of water fell on the town? one cubic meter of water has a mass of 103 kg.

We want to convert everything to meters so we can calculate cubic meter volume and use the given mass information.

2 inches = 5.08 centimeters =.0508 meters.

22 square kilometers = 22,000,000 sq meters.

The product of these gives the number of cubic meters of water that rained ...0508 * 22,000,000 = 1,117,600 cubic meters.

Multiply by the mass to arrive at final answer. 1,117,600 m^3 * 103kg/m^3 = 115,112,800 kg

115,112,800 kg of water fell.

For this case, the first thing you should know is that density is defined as the quotient between mass and volume.

d = m / v

We have then for this case that the density is:

d = 103 Kg / m ^ 3

The volume is given by:

V = A * d

Where

A: area of the city

d: height of the rain

Also, for calculation purposes, you must know the following measure:

1Km = 1000m

1 inch = 0.0254 meters

Calculating the volume we have:

V = (22 * (1000/1) ^ 2) * (2 * (0.0254 / 1)) = 1117600 m ^ 3

Then, calculating the mass we have:

m = d * v

m = (103) * (1117600) = 115112800 Kg

Equivalently

m = 1.15 * 10 ^ 8 Kg

answer

mass of water fell on the town was 1.15 * 10 ^ 8 Kg