1. Given the following physical situation: Steady state energy transport via conduction in a rectangular slab of length (L=1m), width (W=20 cm) and thickness (H=2 cm). The transport is assumed to be only along the length of the slab. Temperature at one end of the length of the slab is = 1000C. It is higher than the temperature at the other end of the length of the slab (where the flux is equal to 12.34 W/m2). Heat was generated at the rate of 600 J/min-m3 from the rectangular slab (a) Provide a sketch of the physical problem and draw the appropriate Differential Volume Element within the sketch, labeling all its dimensions and showing where it is located relative to your coordinate system Label the Differential Volume Element and show the direction of all fluxes in and out of the differential volume element. (b) For the energy transport balance, write the appropriate expressions for each term of the general conservation equation. (c) State the boundary conditions of your problem. (d) Derive the particular solution of the energy flux distribution along the length of the slab (following all the intermediate steps), using the stated boundary conditions. The thermal conductivity of the slab is 0.8 W/m-0K (e) Calculate the energy flux at the center of the slab. (f) Derive the general solution of the temperature profile in the slab along the transport direction.