A concern with plans for capture of CO₂ directly from ambient air (DAC), is the sheer volume of material that must be processed. One design requires fans to blow air at 2 m/s through 2.8 m thickness of absorber and other materials and aims to absorb 50% of the CO₂ from the air stream. Assume a rectangular installation of length L, height 100 m (and thickness 2.8 m).How large must L be in order for this DAC plant to remove the CO₂ produced by a 1 GWe coal-fired power plant operating at 30% efficiency? How large a population(in the US or in your country) could have its carbon footprint eliminated by this DAC plant assuming the plant to be powered by a non-carbon source?Use the results of Problem 35.11 to redo this estimate if the coal power plant itself powers the DAC facility.