A planar source at the center of an infinite slab of graphite 2 meters thick emits 108 thermal neutrons per cm2/sec. Given that the system is at room temperature, calculate the: (a) total number of thermal neutrons in the slab per cm2 at any time; (b) number of thermal neutrons absorbed per cm2/sec of the slab; (c) neutron current as a function of position in the slab; (d) total number of neutrons leaking per cm2/sec from the two surfaces of the slab; (e) probability that a source neutron does not leak from the slab.