Question

If an equal mass of sugar and aluminum were poured into separate containers, which would require the smaller container?

aluminum

sugar

Answer 1

Aluminium requires the smaller container !

Answer 2

Aluminum

Step-by-step explanation:

It is given that:

Mass of sugar = Mass of aluminum

The volume occupied by the two substances can be deduced from their densities.

Density of a substance is a constant and given by the ratio of its mass to volume.

`Density = (Mass)/(Volume)`

`Volume = (Mass)/(Density)`

Density of aluminum = 2.7 g/cm3

Density of Sugar = 1.59 g/cm3

Since the masses are equal we have:

`(Volume\ Aluminum)/(Volume\ Sugar) = (Density\ sugar)/(Density\ Aluminum) = (1.59)/(2.7) = 0.59`

Volume of Aluminum = 0.59 (Volume of sugar)

Therefore, aluminum will require a container of smaller volume