The flow of air to a gas-fired boiler furnace is regulated by a minicomputer controller. The fuel gases used in the furnace are mixtures of methane (A), ethane (B), propane (C), n-butane (D), and isobutene (E). At periodic intervals the temperature, pressure, and volumetric flow rate of the fuel gas are measured, and voltage signals proportional to the values of these variables are transmitted to the computer. Whenever a new feed gas is used, a sample of the gas is analyzed and the mole fractions of each of the five components are determined and read into the computer. The desired percent excess air is then specified, and the computer calculates the required volumetric flow rate of air and transmits the appropriate signal to a flow control valve in the air line. The linear proportionalities between the input and the output signals and the corresponding process variables may be determined from the following calibration data:

(a) Create a spreadsheet or write a program to read in values of R₁, R_T, R_P, the fuel gas component mole fractions X_A, X_B, X_C, X_D, and X_E and the percent excess air P_X, and to calculate and print out the required value of R_A.

(b) Run your program for the following data.

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Fuel Temperature: Fuel Pressure: Fuel Flow Rate: Air Flow Rate: T = 25.0°C. T = 35.0°C. gauge P gauge V₁ = V₁ = 0 m³/h, V₁ = Va = = 0 kPa. = 20.0 kPa, RT RT XB 0 m³ (STP)/h, = 14 2.00 × 10³ m³/h. = 27 R₁ RT Rp TA XC 7.25 23.1 7.5 0.81 0.08 0.05 5.80 7.5 19.3 0.58 0.31 0.06 2.45 46.5 15.8 0.00 0.00 0.65 0.25 Rp Rp = 0 =6 R₁ = 0 R₁ = 10 1.0 x 10 m³ (STP)/h, XD XE 0.04 0.02 0.05 0.00 0.10 R₂ 0 = 25 R₂ PX 15% 23% 33%