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A country needs to build new power plants to meet the increasing demand for electric power. One possibility is to build coal-fired power plants, which cost $1300 per kW to construct and have an efficiency of 38 percent. Another possibility is to build clean-burning Integrated Gasification Combined Cycle (IGCC) plants where the coal is subjected to heat and pressure to gasify it while removing sulfur and particulate matter from it. The gaseous coal is then burned in a gas turbine, and part of the waste heat from the exhaust gases is recovered to generate steam for the steam turbine. The construction of IGCC plants costs about $1500 per kW, but their efficiency is about 48 percent. The average heating value of the coal is about 28,000,000 kJ per ton (that is, 28,000,000 kJ of heat is released when 1 ton of coal is burned). If the IGCC plant is to recover its cost difference from fuel savings in five years, determine what the price of coal should be in $ per ton. Consider the power generation capacity to be 150,000 MW

Respuesta :

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.

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