Question

An empty container with a volume of 160.0 cm3 is weighed and found to have a mass of 72.1 g. The container is filled with a liquid and reweighed. The mass of the container and the liquid is 192.5 g. What is the density of the liquid to the appropriate number of significant figures?

Answer 1

Let us first define what density is. Density is defined as the mass of a substance that occupies a certain volume. It is described by the following equation:

`\rho=(Mass)/(Volume)`

Now, we have the volume of the liquid that will be equal to the volume of the container, that is, 160.0 cm3.

The mass of the liquid will be equal to the total mass (Container + Liquid) minus the mass of the container. The mass of the liquid is:

`Mass=192.5g-72.1g=120.4g`

Now, we substitute the value of mass and volume and find the density:

`\begin{gathered} \rho=(120.4g)/(160.0cm^3) \\ \rho=0.7525g/cm^3 \end{gathered}`

Answer: The density of the liquid is 0.7525 g/cm^3