Question

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

Answer 1

Aluminium requires the smaller container !

Answer 2

Answer:

Aluminum

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.

$Density = \frac{Mass}{Volume}$

$Volume = \frac{Mass}{Density}$

Density of aluminum = 2.7 g/cm3

Density of Sugar = 1.59 g/cm3

Since the masses are equal we have:

$\frac{Volume\ Aluminum}{Volume\ Sugar} = \frac{Density\ sugar}{Density\ Aluminum} = \frac{1.59}{2.7} = 0.59$

Volume of Aluminum = 0.59 (Volume of sugar)

Therefore, aluminum will require a container of smaller volume