The density of titanium metal is 4.59 g/cm3 at 25 C. What mass of titanium displaces 204.03 mL of water st 25C?

1 Answer
Jul 10, 2016

Answer:

The mass of titanium is #"936 g" #.

Explanation:

Density is the amount of mass per unit volume. The density equation is #"density"="mass"/"volume"#.

If you know two of the variables you can calculate the third.

In this case you know density, #"4.59 g/cm"^3"#, and the volume is #"204.03 mL"#. Since #"1 mL=1 cm"^3"#, we can rewrite the volume of titanium as #"204.03 cm"^3"#.

We can use the density and volume to calculate the mass of titanium.

Rearrange the equation to isolate mass. Substitute the given values into the equation and solve.

#"mass"="density"xx"volume"#

#"mass=4.59 g/cm"^3xx"204.03 cm"^3"=936 g"# rounded to three significant figures

The following diagram is a density triangle. It is a tool to help you calculate density.

https://owlcation.com/stem/The-Density-Mass-and-Volume-Magic-Triangle-How-to-calculate-density-of-a-solid-shape-Math-Help

The way it works is to cover the missing variable with with your finger and observe the relationship between the other two variables.

For example, if you don't know the volume, put your finger over the #"V"#. Look at the orientation of the other variables. In this case #"M"# is over the #"D"#. This means the that to calculate volume, you need to divide mass by density.