Barium is the largest nonradioactive alkaline earth metal. It has a body-centered cubic unit cell and a density of 3.62 g/cm³
. What is the atomic radius of barium? (Volume of a sphere: V = 4/3 πr³. )

Respuesta :

Barium is the largest nonradioactive alkaline earth metal. It has a body-centered cubic unit cell

Density = 3.62 g/cm3

The volume of Ba metal can be calculated as = = 37.9 cm3/mol Ba

As the Ba atom has a body-centered cubic unit cell, the packing efficiency of an atom is 68% or 0.68

37.9 cm3/mol Ba 0.68 = 26 cm3/mol Ba atoms

It is known that 1 mol of Ba atom is equal to = 6.022 1023 atoms, thus 26 cm3/mol Ba atoms will be equal to = 26 cm3/mol Ba atoms = 4.3 10-23 cm3/atoms

Volume of a sphere: V = 4/3πr3

                          r3 = 3V/ 4

                         = = 2.210-8 cm.

Barium is a chemical element with the chemical symbol Ba and atomic number 56. It is a fifth Group 2 element and is a soft, silvery alkaline earth metal. Due to its high chemical reactivity, barium does not occur naturally as a free element. Barium, 56Ba. barium.

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