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3.60. An inclined manometer is a useful device for measuring small pressure differences. The formula given in Section 3.4 for the pressure difference in terms of the liquid-level difference h remains valid, but while h would be small and difficult to read for a small pressure drop if the manometer were vertical, L can be made quite large for the same pressure drop by making the angle of the inclination, 0 , small. a. Derive a formula for h in terms of L and 0. b. Suppose the manometer fluid is water, the process fluid is a gas, the inclination of the manometer is 0 = 15°. and a reading L = 8.7 cm is

3.60. An inclined manometer is a useful device for measuring small pressure differences. The formula given in Section 3.4 for the pressure difference in terms of the liquid-level difference h remains valid, but while h would be small and difficult to read for a small pressure drop if the manometer were vertical, L can be made quite large for the same pressure drop by making the angle of the inclination, 0 , small. a. Derive a formula for h in terms of L and 0. b. Suppose the manometer fluid is water, the process fluid is a gas, the inclination of the manometer is 0 = 15°. and a reading L = 8.7 cm is

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
Section: Chapter Questions
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**3.60. An inclined manometer** is a useful device for measuring small pressure differences. *Diagram Explanation:* The diagram shows an inclined manometer, which includes two horizontal tubes at the top and a slanted tube that holds the manometer fluid. The inclination angle, \( \theta \), is represented. A length \( L \) is marked along the tube's inclination, and the vertical liquid-level difference is labeled as \( h \). The text below the diagram details the following points: The formula provided in Section 3.4 for calculating the pressure difference in terms of the liquid-level difference \( h \) remains applicable. However, if the manometer were vertical, reading \( h \) would be challenging and less precise for small pressure differences. With an inclined setup, \( L \) can be significantly extended for the same pressure drop by minimizing the angle of inclination, \( \theta \). Questions and Tasks: a. **Derive a formula for \( h \) in terms of \( L \) and \( \theta \).** b. **Given:** The manometer fluid is water, the process fluid is a gas, the inclination of the manometer is \( \theta = 15^\circ \), and a reading of \( L = 8.7 \text{ cm} \) is recorded. - **Question:** What is the pressure difference between points ① and ②? - **Answer:** \( 23 \text{ mm H}_2\text{O} \) c. **Discuss why the formula derived in Part (a) would not be applicable if the process fluid were a liquid instead of a gas.** Provide one definite reason and an additional possible reason.
Transcribed Image Text:**3.60. An inclined manometer** is a useful device for measuring small pressure differences. *Diagram Explanation:* The diagram shows an inclined manometer, which includes two horizontal tubes at the top and a slanted tube that holds the manometer fluid. The inclination angle, \( \theta \), is represented. A length \( L \) is marked along the tube's inclination, and the vertical liquid-level difference is labeled as \( h \). The text below the diagram details the following points: The formula provided in Section 3.4 for calculating the pressure difference in terms of the liquid-level difference \( h \) remains applicable. However, if the manometer were vertical, reading \( h \) would be challenging and less precise for small pressure differences. With an inclined setup, \( L \) can be significantly extended for the same pressure drop by minimizing the angle of inclination, \( \theta \). Questions and Tasks: a. **Derive a formula for \( h \) in terms of \( L \) and \( \theta \).** b. **Given:** The manometer fluid is water, the process fluid is a gas, the inclination of the manometer is \( \theta = 15^\circ \), and a reading of \( L = 8.7 \text{ cm} \) is recorded. - **Question:** What is the pressure difference between points ① and ②? - **Answer:** \( 23 \text{ mm H}_2\text{O} \) c. **Discuss why the formula derived in Part (a) would not be applicable if the process fluid were a liquid instead of a gas.** Provide one definite reason and an additional possible reason.
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