A mixture of methane, ethane, and argon at 25°C is burned with excess air in a power-plant boiler. The hydrocarbons in the fuel are completely consumed. The following variable definitions will be used throughout this problem:
xm= mole fraction of methane in the fuel
xA= mole fraction of argon in the fuel
Pxs(%) = percent excess air fed to the furnace
Ta(°C) = temperature of the entering air
Ts(°C) = stack gas temperature
r = ratio of CO2to CO in the stack gas (mol CO2/mol CO)
- Without doing any calculations, sketch the shapes of the plots you would expect to obtain for plots of Q versus (i) xM, (ii) xA, (iii) Pxs, (iv) Ta, (v) Ts, and (vi) r, assuming in each case that the other variables are held constant. Briefly state your reasoning for each plot.
- Take a basis of 1.00 mol/s of fuel gas. draw and label a flowchart, and derive expressions for the molar flow' rates of the stack gas components in terms of xM, xA, Pxs, and r. Then take as references the elements at 25°C, prepare and fill in an inlet-outlet enthalpy table for the furnace, and derive expressions for the specific molar enthalpies of the feed and stack gas components in terms of Taand Ts. Calculate
- = -655 kW.) Prepare a spreadsheet that has columns for. xM, xA, P x s , , Ta, r, Ts, and
xM= 0.00—0.85 mol CH4/mol
xA= 0.01—0.05 mol Ar/mol
Pxs= 0%-100%
Ta= 25°C—25O°C
r = 1 — 100 mol CO2/mol CO (make the r axis logarithmic)
Ts= 500°C-1000°C
When generating each plot, use the variable values given in Part (c) as base values. (For example, generate a plot of
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