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**Problem Statement:** Water is pumped through a plumbing system that contains four 90° elbows and one 180° bend. The pipes are made of cast iron with a diameter of 4 inches and a total length of 75 feet. Find the lost work with a flow speed of 15 feet per second. **Hint:** Use the Leq method. For a 90-degree elbow, \( \frac{L_{\text{eq}}}{D} = 32 \) and for a 180-degree bend, \( \frac{L_{\text{eq}}}{D} = 75 \). **Explanation:** This problem involves calculating the equivalent length of pipe (Leq) to determine the head loss in the system, considering the fittings present. The given ratios help account for the additional resistance caused by the bends and elbows compared to straight pipe flow. The task is to assess the energy lost as work due to these fittings at a given flow speed.

**Problem Statement:** Water is pumped through a plumbing system that contains four 90° elbows and one 180° bend. The pipes are made of cast iron with a diameter of 4 inches and a total length of 75 feet. Find the lost work with a flow speed of 15 feet per second. **Hint:** Use the Leq method. For a 90-degree elbow, \( \frac{L_{\text{eq}}}{D} = 32 \) and for a 180-degree bend, \( \frac{L_{\text{eq}}}{D} = 75 \). **Explanation:** This problem involves calculating the equivalent length of pipe (Leq) to determine the head loss in the system, considering the fittings present. The given ratios help account for the additional resistance caused by the bends and elbows compared to straight pipe flow. The task is to assess the energy lost as work due to these fittings at a given flow speed.

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
Problem 1.1P
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**Problem Statement:** Water is pumped through a plumbing system that contains four 90° elbows and one 180° bend. The pipes are made of cast iron with a diameter of 4 inches and a total length of 75 feet. Find the lost work with a flow speed of 15 feet per second. **Hint:** Use the Leq method. For a 90-degree elbow, \( \frac{L_{\text{eq}}}{D} = 32 \) and for a 180-degree bend, \( \frac{L_{\text{eq}}}{D} = 75 \). **Explanation:** This problem involves calculating the equivalent length of pipe (Leq) to determine the head loss in the system, considering the fittings present. The given ratios help account for the additional resistance caused by the bends and elbows compared to straight pipe flow. The task is to assess the energy lost as work due to these fittings at a given flow speed.
Transcribed Image Text:**Problem Statement:** Water is pumped through a plumbing system that contains four 90° elbows and one 180° bend. The pipes are made of cast iron with a diameter of 4 inches and a total length of 75 feet. Find the lost work with a flow speed of 15 feet per second. **Hint:** Use the Leq method. For a 90-degree elbow, \( \frac{L_{\text{eq}}}{D} = 32 \) and for a 180-degree bend, \( \frac{L_{\text{eq}}}{D} = 75 \). **Explanation:** This problem involves calculating the equivalent length of pipe (Leq) to determine the head loss in the system, considering the fittings present. The given ratios help account for the additional resistance caused by the bends and elbows compared to straight pipe flow. The task is to assess the energy lost as work due to these fittings at a given flow speed.
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