In a coal-based synthesis gas facility, 45% of the fuel is consumed in the generator gas cycle while the rest follows the water gas cycle. The coal consists of 90% C and 10% ash. Assume that the losses of C with the ashes are negligible.

The generator gas cycle uses atmospheric air (Ts523C, ϕ50.62, and PT5720 mmHg), and the reaction takes place at 973K and 1 atm.

Assume that no water gas equilibrium with steam is reached, just reaction. The equilibrium constant as a function of the temperature can be computed using the following equation:

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8841 Boudouard reaction: log(K)=9.1106-3 T[=]K T The water gas cycle uses steam so that only 40% of it reacts. The equilibrium for the WGS among the resulting gases establishes at 800K. The equilibrium constant can be determined using the following equation: Water gas reaction log K = 2073 T (K) -2.029) 71-JK Py exp (18.3036-3844/(227-T(C)) Determine: Relative amounts of generator gas and water gas produced. Heating value of both gases. Fraction of the initial heating power in C remaining in both gases.