Question

A titanium bicycle frame displaces 0.314 l of water and has a mass of 1.41 kg. what is the density of the titanium in g>cm3 ?

Answer 1

The density of an object is the ratio of its mass over the volume. This translates to the amount of substance present in a certain space and can mathematically be expressed as,
 
                   density = mass / volume

In this item, we are given that the object of mass 1.41 kg is able to displace 0.314 L of liquid. The volume of water displaced is also the volume of the object. Hence,
                  density = 1.41 kg / 0.314 L = 4.49 kg/L

Then, we convert the calculated volume of g/mL.
                  density = (4.49 kg/L)(1 L / 1000 mL)(1000 g/1 kg)
                      density = 4.49 g/mL

Answer 2

Answer: The density of titanium bicycle is $4.5g/cm^3$

Explanation:

Density is defined as the mass contained per unit volume.

$Density=\frac{mass}{Volume}$

Given : Mass of titanium bicycle = 1.41 kg = 1410 g  $1kg=1000g$

Volume of water displaced = volume of titanium bicycle  = 0.314 L= $314cm^3$   $1L=1000cm^3$

Putting in the values we get:

$Density=\frac{1410g}{314cm63}=4.5g/cm^3$

Thus density of titanium bicycle is $4.5g/cm^3$