You are planetary engineer on Magrathea tasked to ensure a custom-built planet is self sus- taining. One way you plan to do this is through energy recovery of waste. A society of 1 million individuals will inhabit the planet, and due to the self sustaining nature, they will produce waste at a rate of only 0.5 capito-day The landfill will produce gas at an annual rate of 30 L. gas of which 70% is estimated to be methane with a heat content of 20,000. Auxillary equipment (comput- kg MSW ers, lights, etc.) will demand 100- k.J What climate do you need to develop to ensure the rest of the captured energy (at complete capture) would provide sufficient heating? i.e. What is the maximum number of heating-degree days this fuel could support assuming you have access to heaters that require 100 kJ of fuel to increase temperatures of a 5 person household by 1F for a day? (https://www.eia.gov/energyexplained/units-and-calculators/degree-days.php) capita day