Sodium metal adopts a body-centered cubic structure with a density of 0.97g/cm3. A. Use this information and Avogadro's number to estimate the atomic radius of sodium. B. If it didn't react so vigorously, sodium could float on water. Use the answer from part a to estimate the density of Na if its structure were that of a cubic close-packed metal. Would it still float on water?

1 answer

2 atoms/cell x 22.9898/6.02E23 = mass of unit cell = ?
Then mass = volume x density and
volume = mass/density = ?
a = V^1/34.3E-8 cm but you should go through all of the calculations. This is an estimate as are all of the calculations that follow. For the body centered unit cell
4r = a(3)^1/2 and solve for r. I get approx 186 pm.
B. What do you mean it would float if it didn't react so vigorously. It DOES float, vigorous reaction or not. I can't answer B part: I don't know to what information they refer.