Chapter 12, Problem 12.46SP

If a protein can be induced to crystallize, its molecular structure can be determined by crystallography. Protein crystals, though solid, contain a large amount of water molecules a long with the protein. The protein egg-white lysozyme, for instance, crystallizes with a unit cell having angles of 90° and with edge lengths of $7.9\times {10}^3$ pm, $7.9\times {10}^3$ pm and $3.8\times {10}^3$ pm. There are eight molecules in the unit cell. If the molecule has a weight of $1.44\times {10}^4$ and a density of 1.35 g/cm³, what percent of the unit cell is occupied by the protein?