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that is all the info given A gaseous fuel containing methane and ethane is burne

ID: 523051 • Letter: T

Question

that is all the info given

A gaseous fuel containing methane and ethane is burned with excess air. The fuel cooler the furnace at 25 degree C and 1 atm, and the air enters at 200 degree C and 1 atm. The stack gas leaves the furnace at 1000 degree C and 1 atm and contains 5.32 mole % CO_2, 1.60% CO, %O_2, 12.24 % H_2O_4, and the balance N_2. (a) Calculate the molar percentages of methane and ethane in the fuel gas and the percentage excess air fed to the reactor. (b)Calculate the heat (KW) transferred from the reactor per 10 m^3/s of fuel feed (c) If 90% of the heat generated from (b) above is used to produce a 20 bar steam 400 degree C from its liquid at 20degree C, determine the volumetric flow rate of the product steam.

Explanation / Answer

100moles of stack gas    x = moles of methane   y= moles of ethane

Carbon balance : x + 2y = 5.321 + 1.596

Hydrogen balance : 4x + 6y = 2(12.239)

Solving simultaneously, x = 3.727 , y = 1.595    Therefore, methane 70.03 %

Oxygen entering : (100.000 – 5.321 – 1.596 – 7.317 – 12.239)(21/79) = 19.545

Oxygen required : 2(3.727) + 3.5(1.595) = 13.037

Therefore % Excess= 100(19.545 – 13.037)/13.037 = 49.92