MECH 323 Homework #1 Use only Equations, variable symbols, and material properties from the course textbook to solve the following problems. 1.) The inner and outer surfaces temperatures of a 1-D slab of material, with a thickness of 8.20 mm, are 48.0°C and 6.0°C respectively. Determine the heat flux through the material in units of W/m2 if the material is: a) Pure Aluminum. b) Sand. c) Sulfur. 2.) You are cooling the door to a large heat treating oven, which is 3.50 m tall by 1.30 m wide, with a large fan blowing air at 25.0°C over the outside of the door. The convection coefficient associated with this cooling process is h = 57.0 W/(m2-K). The outside surface temperature of the door is 58.0°C. Find the heat transfer rate q, in units of Watts, associated with this cooling process. 3.) A computer chip inside an orbiting satellite heats up during operation. Since there is no air in the satellite the only cooling will be by radiation. The chip is 1.50 cm wide by 2.50 cm long with a negligible thickness; and assume that the chip radiates heat evenly from both the top and bottom surfaces. The chip has an emissivity of 0.600; and dissipates 0.410 Watts during usage. Assuming that the inside temperature of the satellite is held at a constant -100.0°C; calculate the surface temperature of the chip in units of Celsius.