### Body-centered cubic problem list

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**Problem #1:** The edge length of the unit cell of Ta, is 330.6 pm; the unit cell is body-centered cubic. Tantalum has a density of 16.69 g/cm^{3} (a) calculate the mass of a tantalum atom. (b) Calculate the atomic weight of tantalum in g/mol.

**Problem #2a:** Chromium crystallizes in a body-centered cubic structure. The unit cell volume is 2.583 x 10¯^{23} cm^{3}. Determine the atomic radius of Cr in pm.

**Problem #2b:** Chromium crystallizes with a body-centered cubic unit cell. The radius of a chromium atom is 128 pm . Calculate the density of solid crystalline chromium in grams per cubic centimeter.

**Problem #3:** Barium has a radius of 224 pm and crystallizes in a body-centered cubic structure. What is the edge length of the unit cell?

**Problem #4:** Metallic potassium has a body-centered cubic structure. If the edge length of unit cell is 533 pm, calculate the radius of potassium atom.

**Problem #5:** Sodium has a density of 0.971 g/cm^{3} and crystallizes with a body-centered cubic unit cell. (a) What is the radius of a sodium atom? (b) What is the edge length of the cell? Give answers in picometers.

**Problem #6:** At a certain temperature and pressure an element has a simple body-centred cubic unit cell. The corresponding density is 4.253 g/cm^{3} and the atomic radius is 1.780 Å. Calculate the atomic mass (in amu) for this element.

**Problem #7:** Mo crystallizes in a body-centered cubic arrangement. Calculate the radius of one atom, given the density of Mo is 10.28 g /cm^{3}.

**Problem #8:** Sodium crystallizes in body-centered cubic system, and the edge of the unit cell is 430. pm. Calculate the dimensions of a cube that would contain one mole of Na.

**Problem #9:** Vanadium crystallizes with a body-centered unit cell. The radius of a vanadium atom is 131 pm. Calculate the density of vanadium. (in g/cm^{3})

**Problem #10:**

**Problem #10:** Titanium metal has a body-centered cubic unit cell. The density of titanium is 4.50 g/cm^{3}. Calculate the edge length of the unit cell and a value for the atomic radius of titanium. (Hint: In a body-centered arrangement of spheres, the spheres touch across the body diagonal.)

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