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16 December, 23:42

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?

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  1. 17 December, 01:21
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    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
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