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 the titanium in g/cm³ is 4.5 g/cm³.

Step-by-step explanation:

The density of titanium can be calculated using the formula: density = mass/volume. First, we need to convert the displacement of water from liters to cubic centimeters. Since 1 liter is equal to 1000 cubic centimeters, the displacement of water is 314 cubic centimeters. The density can be calculated as:

Density = Mass/Volume

Density = 1.41 kg / 314 cm³

Density = 0.0045 kg/cm³

Finally, we need to convert the density to grams per cubic centimeter (g/cm³). Since 1 kg is equal to 1000 grams and 1 cm³ is equal to 1 mL, the density of titanium is:

Density = 0.0045 kg/cm³ * 1000 g/kg

Density = 4.5 g/cm³

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=(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=(1410g)/(314cm63)=4.5g/cm^3`

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