The price of coal is 64.69 $ per ton.
From the question, the differences in their masses can be seen when you find the total energy spent, their given efficiencies, and their heating value, as described in the equation below:
m =mcoal - mIGGC
Note that, the total amount of energy (Etot) equals the given simple payback period (E. SPP)
= Etot ÷ qHV ((1÷ηcoal) - (1÷ηIGCC))
= E. SPP ÷ qHV ((1÷ηcoal) - (1÷ηIGCC))
The amount of money saved using the IGCC is:
ΔM = (MIGCC - Mcoal) E
So to determine what the unit price of coal should be, we must consider the money saved, and the mass difference
Munit = ΔM ÷ Δm
(MIGCC - Mcoal) E ÷ ((E. SPP ÷ qHV) (1÷ηcoal) - (1÷ηIGCC))
= qHV (MIGCC - Mcoal) ÷ spp ((1÷ηcoal) - (1÷ηIGCC))
The price of coal in $ per ton should be:
= 28 Х 10^6 (1500 - 1300) ÷ ( 5(1 ÷ 0.38) - (1 ÷ 0.48) x (365 x 24 x 60 x 60))
= 28,000 000 X 200 ÷ (5( 2.632 - 2.083) (31,536 000))
= 64.69 $ per ton
In a summary, the answer is 64.69 $ per ton.
Learn more here:
https://brainly.com/question/17237405