A cylinder is constructed from a super insulator. The dimensions of the cylinder are Length L: 1 M; inside diameter i.d.: 12 mm. The entire Length of the cylinder contains copper (cases described below). Heat (T > 100C) is continuously applied to the copper on one end of the cylinder. There is a heat sink attached to the copper at the opposite end of the cylinder--it can dissipate the heat at or above the rate of heat absorption. What will be the difference in rate of conduction, if any, for: a) the cylinder contains solid copper (12mm dia. X L) b) the cylinder is packed with copper powder (say, 30 microns) c) the cylinder is packed with small diameter copper rods (say, 1mm dia. X L) d) the cylinder is packed with small diameter copper tubes (say, 5mm o.d., 4m i.d. X L) e) the cylinder contains a uniform copper lattice (honeycomb X L) structure surrounded by air If there's a difference, which case results in the highest conduction rate and why? Lowest?