Aluminium has an atomic radius of 0.143 nm, atomic weight of 26.98 g/ mol, and a fcc crystal structure. avogadro's number is 6.022x10^23 atoms/mol. calculate the following (show your work steps): (1) the number of aluminium atoms per unit cell. (2) the volume occupied by aluminium atoms in a unit cell. (3) the volume of one unit cell. (4) the atomic packing factor of aluminium. (5) the theoretical density of aluminium.

A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer.