The daily production of carbon dioxide from an 880 MW coal-fired power plant is

Question

The daily production of carbon dioxide from an 880 MW coal-fired power plant is estimated to be 31,000 tons. A proposal has been made to capture and sequester the CO2 at approximately 300 K and 140 atm. At these conditions, the specific volume of CO2 is estimated to be 0.012 m3 /kg. What volume (m3) of CO2 would be collected during a one-year period?

Felder, Richard M.; Rousseau, Ronald W.; Bullard, Lisa G. (2015-07-17). Elementary Principles of Chemical Processes, 4th Edition (Page 31). Wiley. Kindle Edition.

Explanation / Answer

Amount of CO2 released in one year = 31,000 tons / day x 365 days                     [1 year= 365 days]

                                                      = 11,315,000 tons

                                                       = 11,315,000 x 1000 kg                               [1 tonne = 1000 kg]

                                                       = 11,315,000,000 kg

Given, the specific volume (density) of CO2 after the specified treatment is 0.012 m3/ kg. It means that 1 kg of CO2 occupies a volume of 0.012 m3 after treatment.

Since,

            1 kg CO2                       occupies           volume of 0.012 m3

Hence, 11,315,000,000 kg CO2    occupies           volume of (0.012 x 11,315,000,000) m3

                                                                                 = 135780000 m3

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