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2 months ago

A pure titanium cube has an edge length of 2.78 in. How many titanium atoms does it contain? Titanium has a density of 4.50g/cm3

1 answer:

8 0

2.78 inches converts to 7.06 centimeters
the volume of the cube = (7.06)^3 = 351.9 cm^3

to find the density, you can use this formula:
density = mass / volume
thus:
mass = density x volume
given that we know both density and volume, we will substitute to determine the cube's mass as follows:
mass of cube = 4.5 x 351.9 = 1583.5 grams

from the periodic table: mass of titanium = 47.88 grams/mole
to calculate the number of moles, simply divide the mass by the molar mass.
number of moles in cube = 1583.5 / 47.88 = 33.1 moles

Each mole contains Avogadro's number of atoms, thus:
the atom count in 33.1 moles = <span>33.1 x 6.02 x 10^23 = 1.99 x 10^25 atoms</span>

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