Some people are proposing using Algae photobioreactors PBRs

Some people are proposing using Algae photo-bioreactors (PBRs) to mitigate the C02 in the stack gases of a new coal plant in KS. Assuming the coal power plant is 1000 MW with an efficiency of 35%. Coal heating values is 13500 Btu/lb, and 75% of the coal is carbon. How much coal is burned every day? How much CO_2 is produced from the power plant per day? If carbon credit is carbon credit is $5.5/ton of C02 what is the income from C02 bio-fixation per year?

Solution

1 BTU/lb = 2.326 kJ/kg

coal heating value = 13500*2.326 = 31401 kJ/kg

efficiency of the plant = 0.35

power output of the plant = 31401*0.35 = 10990 kJ /kg

power produced by the plant = 1000 MW

total energy produced per day = 1000e+6 *24*3600 = 8.64e+13 J

coal burnt per day = 8.64e+13/10990e+3 = 7.86 e+6 kg

= 7.86e+3 tons of coal is burt per day.

molecular weight of Carbon = 12 gm

molecular weight of Oxygen = 16/2 = 32 gms

on mole of carbon(12 g) will burn with 1 mole of Oxygen and produce one mole of CO₂ = 44 gms

7.86e+3 tons of coal is burnt per day 75% of the caol is Carbon

Crabon burnt per day = 7.86e+3 *0.75 = 5314.5 tons

CO₂ produced per day = 5314.5 x44/12 = 19486.5 tons

credit for fixation = 5$ per ton of CO₂

credit per day = 19486.5 *5 = 97432.5

credit per year = 35562862.5 $