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4.87. A fuel gas produced by gasifying coal is to be burned with 20% excess air. The gas contains 50.0 mole% nitrogen and the balance carbon monoxide and hydrogen. A sample of the gas is passed through an infrared spectrometer, which registers a signal R that depends on the mole fraction of carbon monoxide in the sample, and a reading R= 38.3 is recorded. Analyzer calibration data are as follows: x(mol CO/mol) 0.05 0.10 0.40 0.80 1.00 R 10.0 17.0 49.4 73.6 99.7 A power law (x = aRº) should be suitable for fitting the calibration data. Derive the equation relating x and R (use a graphical method), and then calculate the molar flow rate of air required for a fuel feed rate of 175 kmol/h, assuming that CO and H2 are oxidized but N2 is not.

4.87. A fuel gas produced by gasifying coal is to be burned with 20% excess air. The gas contains 50.0 mole% nitrogen and the balance carbon monoxide and hydrogen. A sample of the gas is passed through an infrared spectrometer, which registers a signal R that depends on the mole fraction of carbon monoxide in the sample, and a reading R= 38.3 is recorded. Analyzer calibration data are as follows: x(mol CO/mol) 0.05 0.10 0.40 0.80 1.00 R 10.0 17.0 49.4 73.6 99.7 A power law (x = aRº) should be suitable for fitting the calibration data. Derive the equation relating x and R (use a graphical method), and then calculate the molar flow rate of air required for a fuel feed rate of 175 kmol/h, assuming that CO and H2 are oxidized but N2 is not.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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4.87. A fuel gas produced by gasifying coal is to be burned with 20% excess air. The gas contains 50.0 mole% nitrogen and the balance carbon monoxide and hydrogen. A sample of the gas is passed through an infrared spectrometer, which registers a signal R that depends on the mole fraction of carbon monoxide in the sample, and a reading R= 38.3 is recorded. Analyzer calibration data are as follows: x(mol CO/mol) 0.05 0.10 0.40 0.80 1.00 R 10.0 17.0 49.4 73.6 99.7 A power law (x = aRº) should be suitable for fitting the calibration data. Derive the equation relating x and R (use a graphical method), and then calculate the molar flow rate of air required for a fuel feed rate of 175 kmol/h, assuming that CO and H2 are oxidized but N2 is not.
Transcribed Image Text:4.87. A fuel gas produced by gasifying coal is to be burned with 20% excess air. The gas contains 50.0 mole% nitrogen and the balance carbon monoxide and hydrogen. A sample of the gas is passed through an infrared spectrometer, which registers a signal R that depends on the mole fraction of carbon monoxide in the sample, and a reading R= 38.3 is recorded. Analyzer calibration data are as follows: x(mol CO/mol) 0.05 0.10 0.40 0.80 1.00 R 10.0 17.0 49.4 73.6 99.7 A power law (x = aRº) should be suitable for fitting the calibration data. Derive the equation relating x and R (use a graphical method), and then calculate the molar flow rate of air required for a fuel feed rate of 175 kmol/h, assuming that CO and H2 are oxidized but N2 is not.
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