Answer to Question #165869 in Physical Chemistry for ZIA UL ISLAM

Question

You are to develop a computer program (in MATLAB or any computer programming code) on fuel combustion. Your program should balance the combustion equation of any hydrocarbon fuel (C_nH_y) as listed in Table A-25 for 100% or higher amount of moist air. Assume moist air is available at 25 C, 1 atm, and a relative humidity value that you choose. Assume complete combustion. Your program output should include: (work in SI units) 

 

•      Complete combustion equation when fuel type and percent moist air are given.

 

•      Air fuel ratio on a mass basis and on a mole basis, water dew point temperature (total products pressure is 1 atm).

 

•      Heat transfer calculations when reactants (1 atm, 25 C, and relative humidity), and products pressure (1 atm) and product temperature are given.

 

a)                       Run your source code for a hydrocarbon of your choice as listed in Table A-25 at 25 C to develop the following: (You need to show complete program formulation and prove that your programming code is working by showing sample formulations/calculations for at least one point. Attach a copy of your code and complete set of data to show that your program is working correctly. Note that your coding will require best-fit data for molar enthalpy values of CO₂, H₂O, O₂, and N₂ as a function of temperature from 298 K to 2000 K temperature range. Use the enthalpy data in Table 23 to get the best fit in 2^nd or higher degree polynomial forms. Check and prove the goodness of your curve fits.)

 

1)     For a range of % moist air (at a fixed relative humidity value set by you) from 100% to 200% (increments of 20%) tabulate and plot: AF ratio (mass/mole basis), and the dew point temperature versus the % air. Comment.

 

2)     For 150% moist air at 1 atm, 25 C, and relative humidity used in part (a1) above, tabulate and plot the heat transfer release in kJ per kmole of hydrocarbon versus product temperature. Vary the product temperature from 298 K (assume water in vapor form for 25 C point for heat transfer calculations) to 2000 K. Consider 298 K, 500 K, 1000 K, 1500 k, and 2000 K points. Comment.

 

 

b)                       The combustion requirements of the boiler of a steam power plant using natural gas (80% methane (CH₄) and 20% ethane (C₂H₆) on a mole basis at 25 C) are to be determined at partial/full load conditions of W_net = 50, 75, 100 MW (full load is 100 MW). The plant overall thermal efficiencies are 36%, 38%, and 40% for each load, respectively, and the boiler efficiency is fixed for all loads at 90%. Using your generated computer code, determine the following natural gas and moist-air flow requirements as a function of the load: (clearly specify your % moist-air and the product or exhaust gas temperature for the calculations below when using your programming code): (show one point sample calculations and formulations)

 

1) Tabulate and plot natural gas and moist-air mole flow rates in kmoles/s vs    load.

2) Tabulate and plot natural gas and moist-air mass flow rates in kg/s vs load.

Calculate the amount of carbon dioxide (CO₂) that this plant dumps into the atmosphere per year (in kg/year) if this plant is run for 2000 hours, 2000 hours, and 4000 hours per year at 50, 75, and 100 MW loads, respectively.   

Answer 1

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