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Answer :
Answer:
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.
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Rewritten by : Barada
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
