This problem considers the possibility of generating power from the concentration gradient between CO₂ in industrial emissions and the ambient atmosphere. 

1. Flue gas from a coal-fired power plant has 12.7 percent CO₂. What is the maximum amount of work that can be done from the mixing of this flue gas with air? The flue gas is at 25 ^οC and ambient air contains 0.04 percent CO₂. 

2. The annual production of flue gas from coal-fired power plants across the world is 9 Gt. In addition, 2 Gt per year of flue gas is produced from plants that burn natural gas, and 11 Gt per year is produced from mobile sources. The CO₂ concentration in these emissions may be assumed to be 7.5 percent. Calculate the maximum work that can be obtained from the global emission of flue gas. Knowing that the Hoover Dam in the USA produces 4 TW of power, is the potential to generate power from the flue gas CO₂ gradient substantial?