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?

Answer 1

`1.3578* 10^(8) m^3` volume of carbon dioxide gas would be collected during a one-year period.

Step-by-step explanation:

Mass of carbon dioxide gas collected in a day = 31,000 Tonn

1 Tonn = 1000 kilogram

31,000 Tonn =
`31,000* 1000 kg=31,000,000 kg`

Specific volume of the carbon dioxide gas =
`V_s`

`V_s=0.012 m^3/kg`

Volume of carbon dioxide gas collected in a day = V

`V=V_s* 31,000,000 kg=0.012 m^3/kg* 31,000,000`

`V=372,000 m^3`

1 year = 365 days

Volume of carbon dioxide gas collected in a year = V'

`V'=372,000* 365 m^3=1.3578* 10^(8) m^3`

`1.3578* 10^(8) m^3` volume of carbon dioxide gas would be collected during a one-year period.