Graph the calibration data in excel using exponential format for the trend line. You should get an equation of the form: y = aeb= What are the values of a and b for the calibration curve?
Graph the calibration data in excel using exponential format for the trend line. You should get an equation of the form: y = aeb= What are the values of a and b for the calibration curve?
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
Section: Chapter Questions
Problem 1.1P
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Question
![**Coal Combustion and SO₂ Emission Control**
Coal containing 5.0 wt% sulfur is burned at a rate of 1250 lb\(_{m,min}\) in a boiler furnace. All of the sulfur in the coals is oxidized to SO₂. The product gas is sent to a scrubber in which most of the SO₂ is removed, and the scrubbed gas then passes out of a stack to the atmosphere.
An Environmental Protection Agency regulation requires that the gas in the stack must contain no more than 0.018 \(\frac{lb_{m,SO₂}}{lb_{m,coal\,burned}}\).
To test compliance with this regulation, a flow meter and an SO₂ analyzer are mounted in the stack. The volumetric flow rate of the scrubbed gas is found to be 2,867 \(\frac{ft³}{s}\), and the SO₂ analyzer reading is 37. Calibration data for the analyzer are given in the table below.
**SO₂ Analyzer Calibration Data**
| SO₂ Concentration (\(\frac{SO₂}{m³\,gas}\)) | Analyzer Reading (0–100 scale) |
|----------------------------------------------|----------------------------------|
| 0.30 | 10 |
| 0.85 | 28 |
| 2.67 | 48 |
| 7.31 | 65 |
| 18.2 | 81 |
| 30.0 | 90 |
Graph the calibration data in Excel using exponential format for the trend line. You should get an equation of the form:
\[ y = ae^{bx} \]
What are the values of \( a \) and \( b \) for the calibration curve? (Provide answers in the boxes below.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce92dfad-12e8-43a7-81b2-7e9ca428d529%2Ff3910c84-fd8b-41cf-a235-57ff8837458b%2Fi3sq4f_processed.png&w=3840&q=75)
Transcribed Image Text:**Coal Combustion and SO₂ Emission Control**
Coal containing 5.0 wt% sulfur is burned at a rate of 1250 lb\(_{m,min}\) in a boiler furnace. All of the sulfur in the coals is oxidized to SO₂. The product gas is sent to a scrubber in which most of the SO₂ is removed, and the scrubbed gas then passes out of a stack to the atmosphere.
An Environmental Protection Agency regulation requires that the gas in the stack must contain no more than 0.018 \(\frac{lb_{m,SO₂}}{lb_{m,coal\,burned}}\).
To test compliance with this regulation, a flow meter and an SO₂ analyzer are mounted in the stack. The volumetric flow rate of the scrubbed gas is found to be 2,867 \(\frac{ft³}{s}\), and the SO₂ analyzer reading is 37. Calibration data for the analyzer are given in the table below.
**SO₂ Analyzer Calibration Data**
| SO₂ Concentration (\(\frac{SO₂}{m³\,gas}\)) | Analyzer Reading (0–100 scale) |
|----------------------------------------------|----------------------------------|
| 0.30 | 10 |
| 0.85 | 28 |
| 2.67 | 48 |
| 7.31 | 65 |
| 18.2 | 81 |
| 30.0 | 90 |
Graph the calibration data in Excel using exponential format for the trend line. You should get an equation of the form:
\[ y = ae^{bx} \]
What are the values of \( a \) and \( b \) for the calibration curve? (Provide answers in the boxes below.)
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