Calculating the Mass of Water in a Cloud

How can we calculate the mass of water in a cloud with specific thickness and water content?

a) By multiplying the cloud thickness by the water content

b) By dividing the cloud thickness by the water content

c) By adding the cloud thickness and the water content

d) By subtracting the cloud thickness from the water content

Answer:

The correct answer is a) By multiplying the cloud thickness by the water content

Calculating the mass of water in a cloud involves using the formula for volume and multiplying it by the water content. In this case, we can determine the mass by multiplying the cloud thickness by the water content. Let's break down the calculation in detail:

Given that a rain-producing cloud is 700 m thick and has a water content of 0.50 g/cm³, we need to find the mass of water in the cloud.

Calculation:

First, convert the thickness of the cloud from meters to centimeters:

700 m = 70,000 cm

Calculate the volume in cubic centimeters (cm³):

Volume = area × height = 1 cm² × 70,000 cm = 70,000 cm³

Using the water content of 0.50 g/cm³:

Mass = density × volume = 0.50 g/cm³ × 70,000 cm³ = 35,000 g

Therefore, the mass of water in the cloud is 35,000 grams. By multiplying the cloud thickness by the water content, we are able to accurately determine the mass of water present in the cloud.