Problem 2 (24 pts): The theoretical density p of a ceramic can be calculated by (unit cell mass)/(unit cell volume). Use the following questions to calculate the theoretical density of cesium chloride (CsCl), given the ionic radius Rc=0.169 nm and Re=0.181 nm, and atomic weight Acs (Note: Avogadro's number 6.02 x 10^23 atoms/mole) Cs- 132.9 g/mole and Cl- 35.45 g/mole.
a) How many formula units of CsCl are there within each unit cell? (4 pts)
b) What is the relationship between unit cell size a and ionic radii (Re and Rei) in this case? (5 pts)
c) Calculate the mass of each unit cell (in g). (5 pts)
d) Calculate the volume of the unit cell (in cm^3). (5 pts)
e) Calculate the theoretical density of this ceramic in g/cm^3 (which is the unit cell mass divided by the unit cell volume). (5 pts)