Question

Barium has a body centered cubic unit cell with a length 805pm along an edge.What is the density of barium in g cm-3

Answer 1

Explanation:

Barium metal crystallizes in a body- centered cubic lattice (the Ba atoms . This problem has been solved: .

Unit cell edge length,

Molar mass of Barium = 137.33 g/ mole.

Answer 2

Barium has a body centered cubic unit cell with a length 805pm along an edge. What is the density of barium in g cm-3 is $24.48 g/cm^{3}$.

Explanation:

The given data is as follows.

  Unit cell edge length, a = 805 pm = $805 \times 10^{-12}$ m = $805 \times 10^{-10}$

   Molar mass of barium, M = 137.33 g/mol

   Atomic number, Z = 56

   Avogadro's number = $6.022 \times 10^{23}$ atoms

Therefore, calculate the density as follows.

            d = $\frac{Z \times M}{a^{3} \times N_{o}}$

               = $\frac{56 \times 137.33 g/mol}{(805 \times 10^{-10})^{3} \times 6.022 \times 10^{23}}$

               = $\frac{7690.48}{5.216 \times 10^{-22} \times 6.022 \times 10^{23}}$

               = $24.48 g/cm^{3}$

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