Question

If density is 22.57g/cm^3 what volume would be occupied by 4.80kg of osmium

Answer 1

Density is equal to the ratio of mass to the volume.

The mathematical expression is given as:

$density=\frac{mass}{volume}$

Arrange the above expression in terms of volume, i.e.

$volume = \frac{mass}{density}$

Density of osmium is equal to =$22.57 g/cm^{3}$

Mass of osmium = 4.80 kg

First, convert the mass in kg to g:

1 kg = 1000 g

Therefore, mass in g = $4.80\times 1000$ = 4800 g

Put the values,

$volume = \frac{4800 g}{22.57 g/cm^{3}}$

= $212.67 cm^{3}$.

Hence, volume occupied by osmium =$212.67 cm^{3}$.