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A cylindrical tank is filled with dimethylformamide (DMF, SG = 0.944) up to a height of 3.75 ft. The tank is open to the atmosphere and has a diameter of 4.00 feet. An open-end mercury manometer is attached to the side of the tank. Assume the atmospheric pressure is 1 tm and specific gravity of mercury is 13.6. ) What is the absolute pressure on the bottom surface of the tank (in psia)? DMF d₁

A cylindrical tank is filled with dimethylformamide (DMF, SG = 0.944) up to a height of 3.75 ft. The tank is open to the atmosphere and has a diameter of 4.00 feet. An open-end mercury manometer is attached to the side of the tank. Assume the atmospheric pressure is 1 tm and specific gravity of mercury is 13.6. ) What is the absolute pressure on the bottom surface of the tank (in psia)? DMF d₁

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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**Educational Content: Pressure in a Cylindrical Tank** **Problem Overview:** A cylindrical tank is filled with dimethylformamide (DMF), which has a specific gravity (SG) of 0.944. The tank is filled to a height of 3.75 feet and is open to the atmosphere. It has a diameter of 4.00 feet. Attached to the side of the tank is an open-end mercury manometer. The atmospheric pressure is assumed to be 1 atm, and the specific gravity of mercury is 13.6. **Objective:** a) Calculate the absolute pressure on the bottom surface of the tank, given in pounds per square inch absolute (psia). **Visual Explanation:** The diagram accompanying the problem shows a cross-section of the tank and the manometer: 1. **Tank Representation:** - The tank is shown as a rectangle labeled "DMF" to indicate it is filled with dimethylformamide. - The liquid level in the tank reaches a height marked on the diagram. 2. **Manometer Setup:** - The manometer is depicted as a U-shaped tube attached to the side of the tank. - One end of the manometer is open to the atmosphere, while the other is connected to the tank, indicating that it measures the pressure difference. - The manometer column contains mercury, as noted by the given specific gravity. - Two dimensions are annotated: - \(d_1\), which is the diameter or dimension related to the manometer connection. - \(h\), which could represent the mercury column height difference. **Key Concepts for Solution:** - **Specific Gravity and Density:** - Specific gravity relates to the density of a substance compared to water. For DMF, SG = 0.944 means its density is 0.944 times that of water. - **Pressure Calculation:** - The gauge pressure due to the liquid column is calculated as \( \text{Pressure} = \text{height} \times \text{density} \times \text{gravitational constant} \). - Convert the height from feet to meters if using SI units for gravitational calculations. - To find absolute pressure, add atmospheric pressure to the gauge pressure calculated from the liquid column. This explanation outlines what is presented in the diagram and provides a basis for calculating pressure in systems involving liquids and manometers.
Transcribed Image Text:**Educational Content: Pressure in a Cylindrical Tank** **Problem Overview:** A cylindrical tank is filled with dimethylformamide (DMF), which has a specific gravity (SG) of 0.944. The tank is filled to a height of 3.75 feet and is open to the atmosphere. It has a diameter of 4.00 feet. Attached to the side of the tank is an open-end mercury manometer. The atmospheric pressure is assumed to be 1 atm, and the specific gravity of mercury is 13.6. **Objective:** a) Calculate the absolute pressure on the bottom surface of the tank, given in pounds per square inch absolute (psia). **Visual Explanation:** The diagram accompanying the problem shows a cross-section of the tank and the manometer: 1. **Tank Representation:** - The tank is shown as a rectangle labeled "DMF" to indicate it is filled with dimethylformamide. - The liquid level in the tank reaches a height marked on the diagram. 2. **Manometer Setup:** - The manometer is depicted as a U-shaped tube attached to the side of the tank. - One end of the manometer is open to the atmosphere, while the other is connected to the tank, indicating that it measures the pressure difference. - The manometer column contains mercury, as noted by the given specific gravity. - Two dimensions are annotated: - \(d_1\), which is the diameter or dimension related to the manometer connection. - \(h\), which could represent the mercury column height difference. **Key Concepts for Solution:** - **Specific Gravity and Density:** - Specific gravity relates to the density of a substance compared to water. For DMF, SG = 0.944 means its density is 0.944 times that of water. - **Pressure Calculation:** - The gauge pressure due to the liquid column is calculated as \( \text{Pressure} = \text{height} \times \text{density} \times \text{gravitational constant} \). - Convert the height from feet to meters if using SI units for gravitational calculations. - To find absolute pressure, add atmospheric pressure to the gauge pressure calculated from the liquid column. This explanation outlines what is presented in the diagram and provides a basis for calculating pressure in systems involving liquids and manometers.
b) What is the gauge pressure on the bottom surface of the tank (in psig)? c) What is the gauge pressure on the bottom surface of the tank (in ft Water)? d) Supposing the distance \( d_1 \) is equal to 0.5 ft, what reading would you expect on the manometer, \( h \) (in mm Hg)?
Transcribed Image Text:b) What is the gauge pressure on the bottom surface of the tank (in psig)? c) What is the gauge pressure on the bottom surface of the tank (in ft Water)? d) Supposing the distance \( d_1 \) is equal to 0.5 ft, what reading would you expect on the manometer, \( h \) (in mm Hg)?
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