A 120. MW coal plant wants to add a SOx emissions control system to reduce its emissions. The emission control system has a capital cost of $815 per kW and reduces SOx emissions by 98% to 0.0918 kg/MWh. Assume the life of the emission control system is 20 years and the power plant produces 650 GWh/y.   a) What is the annualized cost of this system in dollars per year if the discount rate (interest rate) is 7.0 percent/year? What if the discount rate is 4.0 percent/year?   b) What is the cost per 1.0399 x 10^4 kWh of electricity usage (the average annual U.S. residential electricity consumption in 2017 according to the EIA) at each of the discount rates specified in part (a)?   c) What is the cost per metric ton of SOx removed? (1 metric ton = 1,000 kg = 10^6 g)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.EA: Extended Application Estimating Depletion Dates For Minerals
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A 120. MW coal plant wants to add a SOx emissions control system to reduce its emissions. The emission control system has a capital cost of $815 per kW and reduces SOx emissions by 98% to 0.0918 kg/MWh. Assume the life of the emission control system is 20 years and the power plant produces 650 GWh/y.
 
a) What is the annualized cost of this system in dollars per year if the discount rate (interest rate) is 7.0 percent/year? What if the discount rate is 4.0 percent/year?
 
b) What is the cost per 1.0399 x 10^4 kWh of electricity usage (the average annual U.S. residential electricity consumption in 2017 according to the EIA) at each of the discount rates specified in part (a)?
 
c) What is the cost per metric ton of SOx removed? (1 metric ton = 1,000 kg = 10^6 g)
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