Question

A titanium bicycle frame displaces 0.250 L of water and has a mass of 1.21 kg. What is the density of the titanium in g/cm^3?

Answer 1

The equation for density is as follows:

`\rho=(m)/(V)`

Where ρ is the density, m is the mass and V is the volume.

We want the unit to be g/cm³, so we can get these before putting the mass and volume into the equation.

The frame displaces 0.250 L of water, so this is its volume. To convert to cm³ we simply multiply it by 1000:

`V=0.250L=0.250\cdot1000cm^3=250cm^3`

Its mass is 1.21 kg. To convert to g, we need to multiply it by 1000:

`m=1.21kg=1.21\cdot1000g=1210g`

Putting these into the formula, we have the density:

`\rho=(1210g)/(250cm^3)=4.84g/cm^3`

Thus, the density of titanium is 4.84g/cm3