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

V=1/8m the volume is 16 liters

Step-by-step explanation:

We are given that the volume Vof a liquid varies directly with its mass m. This means

V=k⋅m

for some constant, k. A mass of 16kg of the liquid has a volume of 2L.

Substituting these values into the formula for direct variation yields

2=k⋅16

Dividing by 16 gives

k=1/8

so an equation that relates V and m is

V=1/8m

When m=128, we have

V=1/8 (128) = 16

So 128kg of this liquid has a volume of 16L.