1. Calculate the input energy needed to raise the temperature of the soil within the heated volume from an initial temperature of 25C to 125C. Assume no heat losses and no mass transfer into or out of the heated volume. Recall that (caution be unit aware) = pcb at where pc, is the bulk heat capacity of the soil consisting of the rock matrix and interstitial water. 2. Now calculate the input power to each electrode (23 electrodes in total) needed to achieve the input energy calculated above in 180 days. Recall that power is just the rate of energy input, p= aq at 3. Assume that over the 180 day life of the project three pore volumes of water at 25C is injected and three pore volumes of heated water is extracted from the heated volume. The temperature profile of the extracted water is 25C at t = 0 and linearly increases to 125C at t = 90 days. Based on the mass of water into and out of the heated volume, calculate the input energy needed to raise the temperature of the heated volume from an initial temperature of 25C to 125C. Now calculate the input power to each electrode needed to achieve a temperature of 125C in the heated volume within 90 days. 4. 5. Calculate the input power into the electrodes needed to maintain the temperature of 125C in the soil from 90 to 180 days given the cold water injection and hot water extraction in the heated volume during this period of time. Note that half of the pore volumes have already been produced and extracted. Assume the fraction of energy lost as heat losses is fH = 0.001. (Tave - To); 6. What is the average water injection rate into each electrode in US gallons per minute? 7. Determine the energy density at the end of the 180 days in terms of kWh/m for the heated volume and the treatment volume. 8. Estimate the heat losses from the sides of the heated volume assuming the temperature of the soil ramps up as stated above. This is a very difficult question since steady state assumptions cannot be used. We are more interested in how you would approach this problem as there are several different methods. 9. As an engineer what design features can you think of to make the energy used in the project more cost effective for the client.