A drum holds 200kg of water or 132kg of gasoline. Determine the density of gasoline in kg/m3.

1 answer

Density is defined as mass per unit volume:

Density = mass / volume

To find the density of gasoline, we need to know the volume of 132 kg of gasoline. We can use the fact that the drum can hold either 200 kg of water or 132 kg of gasoline, so the volume of 132 kg of gasoline is the same as the volume of 200 kg of water.

The density of water is 1000 kg/m3 (at room temperature and atmospheric pressure), so the volume of 200 kg of water is:

volume = mass / density
volume = 200 kg / 1000 kg/m3
volume = 0.2 m3

Therefore, the volume of 132 kg of gasoline is also 0.2 m3.

Now we can calculate the density of gasoline:

Density = mass / volume
Density = 132 kg / 0.2 m3
Density = 660 kg/m3

Therefore, the density of gasoline is 660 kg/m3.