Vanadium (50.9g/mol) is a metal that under normal conditions crystallizes in a bodycentered cubic lattice and has a density 6g/cm3. If instead vanadium were to crystallize in a simple cubic lattice, calculate the new density. The atomic radius of vanadium is 205pm. HINT: First, calculate the edge length of a simple cubic cell from the atomic radius (I suggest converting to cm at this step). Second, calculate the volume of the unit cell assuming a normal cube shape. Third, calculate the mass of the atoms contained within the unit cell using the molar mass and the number of atoms contained within a simple cubic cell. Fourth, calculate density in units of g/cm3. 1.23g/cm33.27g/cm37.89g/cm34.34g/cm3