Question
The volume of a liquid varies directly with its mass. A certain liquid with mass 16kg has a volume of 2L
Write the equation that relates the volume. V. to the mass, m.
What is the volume liters, of 128kg of this liquid?

Step-by-step explanation:

This problem bothers on the density of substances

Given data

Mass of substance m= 16kg

Volume of substance v = 2L

the equation that relates the volume. V. to the mass, m is the expression for density

ρ= mass/volume

Substituting our given data

ρ= 16/2= 8kg/L

Using the density calculated above we can get the volume liters, of 128kg of liquid

8= 128/v

v=128/8

v= 16L

The volume is 16L

The density of a substance is expressed as the mass per unit volume