Post-combustion carbon capture is increasingly being considered in power plants that burn fossil fuels such as coal or natural gas. Typical flue gas is at 40 ^οC and has 13 percent CO₂; the remainder by mole is inert gases. Calculate the minimum work that must be done to separate flue gas into a stream of pure CO₂. On average, US coal-fired power plants emit 9187 t CO₂ per MW y of electricity generated. If the energy for separation of CO₂ from flue gas is obtained from the generated electricity, calculate the fraction of the generated electricity that will have to be used for CO₂ separation.