Question

The density of copper metal is 8.9 g/mL. What is the volume of 2.5 kg of this metal?

Answer 1

Answer:- The volume of copper is 280 mL.

Solution:- Density and mass of copper metal are given and it asks to calculate the volume of it.

Density is directly proportional to mass and inversely proportional to the volume. The density formula is:

$D=\frac{M}{V}$

where D stands for density, M stands for mass and V stands for volume.

Since, the problem asks to calculate the volume, let's rearrange the formula for volume.

$V=\frac{M}{D}$

The given density is 8.9 grams per mL and the mass is 2.5 kg. We need to convert the mass unit from kg to g so that the g unit could be canceled while calculating volume.

The conversion factor is, 1kg = 1000g

$2.5kg(\frac{1000g}{1kg})$

= 2500g

Let's plug in the values in the density formula to calculate the volume.

$\frac{2500g}{\frac{8.9g}{mL}}$

= 280.89 mL

If the sig figs are considered then the answer needs to be round to two sig figs and hence the volume becomes 280 mL.