Density Calculation: Finding the Density of Granite

What is the mass of the granite and the volume of water displaced?

The mass of a piece of granite is 15.6g. When it is suspended in a displacement can a mass of 5.5g of water is displaced. Find the density of the granite correct to 2 decimal places.

Answer:

The mass of the granite is 15.6g and the volume of water displaced is 5.5g.

To find the density of the granite, we need to use the formula density = mass/volume. The mass of the granite is given as 15.6g. The volume of the granite can be calculated by subtracting the volume of water displaced from the total volume of the displacement can.

The density of the granite is 1.54g/mL. The volume of water displaced is 5.5mL. The total volume of the displacement can is equal to the volume of water displaced plus the volume of the granite, which gives us 5.5mL + volume of granite. By solving for the volume of granite, we find that the volume of granite is 10.1mL.

Now we can calculate the density of the granite by dividing the mass by the volume: density = 15.6g / 10.1mL = 1.54g/mL.

In conclusion, the mass of the granite is 15.6g and the volume of water displaced is 5.5g. The density of the granite is 1.54g/mL.