The document contains several engineering problems related to heat transfer and thermodynamics. Problem 16 asks the student to use a numerical finite difference method to construct a temperature profile table for a 1m thick slab initially at 150°C that is suddenly exposed to 250°C fluid on one face and insulated on the other, using 4 slices and time steps up to 4000s. Problem 4.1-1 asks the student to calculate the heat loss per square meter for a temporary insulating wall with given temperatures, thickness, and material properties. Problem 5.3-6 asks the student to determine the time for a furnace wall lining initially at 100°F to reach 500°F at a depth of 0.5ft, given properties