You are asked to design a large heated workspace in a cold climate, making it as eco-friendly as possible by attaching polystyrene foam insulation to the inside wall. Polystyrene foam has a density of...

You are asked to design a large heated workspace in a cold climate, making it as eco-friendly as possible by attaching polystyrene foam insulation to the inside wall. Polystyrene foam has a density of 50 kg/m3 , a specific heat capacity of 1220 J/kg

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K, and a thermal conductivity of 0.034 W/m

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K. The space will be heated during the day (12 hours) but not at night. What is the optimum thickness, w, of foam to minimize the energy loss?