3. I have been running a pilot plant, demonstrating a change to a process from my plant. I am hopeful that this change will allow us to make product faster. I have measured the rate of production, and the data are below. Table 3. Production rate from pilot plant demonstration tests. Run # 1 2 3 4 5 P (pounds per hour) 26.0 24.4 30.1 20.3 13.9 From these data, please estimate: a. Estimate the Type A uncertainty in these measurements. Be sure to include the units. b. Estimate the Type B uncertainty associated with these measurements. Be sure to include units. c. Determine the uncertainty in the measurement of production rate. Be sure to include units. State your

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
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**Pilot Plant Demonstration - Production Rate Analysis**

As part of a pilot plant initiative to demonstrate process changes aimed at increasing production speed, a series of production rate tests were conducted. The measured data for the production rates are provided in the table below.

**Table 3: Production rate from pilot plant demonstration tests**

| Run # | P (pounds per hour) |
|-------|---------------------|
|   1   |         26.0        |
|   2   |         24.4        |
|   3   |         30.1        |
|   4   |         20.3        |
|   5   |         13.9        |

From this data, we can estimate the uncertainties associated with the production rates:

a. **Estimate the Type A uncertainty in these measurements**: Type A uncertainty is determined from statistical analysis of the measured data. Ensure to include the units (pounds per hour).

b. **Estimate the Type B uncertainty associated with these measurements**: Type B uncertainty is derived from any other source of uncertainty, such as equipment calibration, environmental conditions, etc. Ensure to include units (pounds per hour).

c. **Determine the total uncertainty in the measurement of production rate**: Combine the Type A and Type B uncertainties to provide an overall uncertainty in the production rate measurements. State your final answer as average production rate ± uncertainty, ensuring all units are included.

This exercise will help understand the practical implications of the process changes on production efficiency and the precision of the measurements recorded during the pilot plant tests.
Transcribed Image Text:**Pilot Plant Demonstration - Production Rate Analysis** As part of a pilot plant initiative to demonstrate process changes aimed at increasing production speed, a series of production rate tests were conducted. The measured data for the production rates are provided in the table below. **Table 3: Production rate from pilot plant demonstration tests** | Run # | P (pounds per hour) | |-------|---------------------| | 1 | 26.0 | | 2 | 24.4 | | 3 | 30.1 | | 4 | 20.3 | | 5 | 13.9 | From this data, we can estimate the uncertainties associated with the production rates: a. **Estimate the Type A uncertainty in these measurements**: Type A uncertainty is determined from statistical analysis of the measured data. Ensure to include the units (pounds per hour). b. **Estimate the Type B uncertainty associated with these measurements**: Type B uncertainty is derived from any other source of uncertainty, such as equipment calibration, environmental conditions, etc. Ensure to include units (pounds per hour). c. **Determine the total uncertainty in the measurement of production rate**: Combine the Type A and Type B uncertainties to provide an overall uncertainty in the production rate measurements. State your final answer as average production rate ± uncertainty, ensuring all units are included. This exercise will help understand the practical implications of the process changes on production efficiency and the precision of the measurements recorded during the pilot plant tests.
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