Question

An empty graduated cylinder has a mass of 50 g the cylinder has a mass of 120 g when 30 mL of water is poured in if a rock is added to the graduated cylinder then water level rises to 75 mL in the mass is now 250 g determine the density of the rock

Answer 1

We will have the following:

We are given:

*Mass empty graduated cylinder: 50g

*Mass of the cylinder has a mass of 120g when Volume of water = 30mL.

*Volume to 75 mL when rock is added and the mass is 250g.

First, we will have that the mass of the rock wilk be give by:

`m_(rock)=250g-120g\Rightarrow m_(rock)=130g`

Now, we determine the volume it occupies:

`V=75mL-30mL\Rightarrow V=45mL`

Now, we determine the density of the rock as follows:

`\rho_(rock)=(130g)/(45mL)\Rightarrow\rho_(rock)=(26)/(9)g/mL`

So, the density of the rock is exactly 26/9 g/mL.