A mixture of hydrogen and uranium hexafluoride (UF6, molar mass: 352 kg/kmol) is stored in an abandoned oil well (in spherical chambers radioactive uranium can become critical leading to nuclear meltdown). After a long time, after thermodynamic equilibrium is achieved, a sampling at the top reveals that the mixture consists of 50-50 (by volume) mixture at 100 kPa and 300 K. Determine the
(a) Total pressure (pt) and
(b) Molar composition 3 km below the surface. Assume isothermal condition and ideal gas behavior.