Consider the following coal gasifier proposed for supplying a syngas fuel to a gas turbine power plant. Fifty kilograms per second of dry coal (represented as 48 kg C plus 2 kg H) enter the gasifier, along with 4.76 kmol/s of air and 2 kmol/s of steam. The output stream from this unit is a gas mixture containing H2, CO, N2, CH4, and CO2 in chemical equilibrium at 900 K, 1 MPa.
a. Set up the reaction and equilibrium equation(s) for this system, and calculate the appropriate equilibrium constant(s).
b. Determine the composition of the gas mixture leaving the gasifier.