Question 1: one surface of a 20-cm thick plaincarbon-steel
slab is maintained at 127 derees celsius and the othersurface is
maintained at 527 degrees celsius. determine thetemperature at a
point 8 cm from the surface at 127 degrees celsiusand the heat flux
across the slab. note: the thermalconductivity varies considerably
across the slab thickness, andshould be taken into account.

1in2 processor chip can be modelled as an isothermal plane wall of silicon, isothermal on both sides. the power input to the bottom of the plane wall, or the processing power of the chip, often called the thermal design power (tdp), is 100w. assume the periphery is adiabatic. the silicon is 400 microns thick. the temperature at the junction, or in this case on the bottom of the isothermal plane wall, is 85°c. what is the top surface temperature, assuming that the only mode of heat transfer is conduction