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gas above the liquid as shown below. Derive an ODE relating the liquid level h to the input flow rate F₁. Is the operation independent on the ambient pressure P?

gas above the liquid as shown below. Derive an ODE relating the liquid level h to the input flow rate F₁. Is the operation independent on the ambient pressure P?

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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Consider a liquid flow system consisting of a sealed upright cylindrical tank with a non-condensable gas above the liquid as shown below. Derive an ODE relating the liquid level h to the input flow rate F. Is the operation independent on the ambient pressure P? Make the following assumptions: F₁ H GE h Cv Cross-Sectional Area = A F i. ii. iii. The gas obeys the ideal gas law. A constant amount of gas n = m/M moles are present in 9 the tank. The operation is isothermal. A linear relation holds for flow through the valve with respect to the pressure differential across the valve.
Transcribed Image Text:Consider a liquid flow system consisting of a sealed upright cylindrical tank with a non-condensable gas above the liquid as shown below. Derive an ODE relating the liquid level h to the input flow rate F. Is the operation independent on the ambient pressure P? Make the following assumptions: F₁ H GE h Cv Cross-Sectional Area = A F i. ii. iii. The gas obeys the ideal gas law. A constant amount of gas n = m/M moles are present in 9 the tank. The operation is isothermal. A linear relation holds for flow through the valve with respect to the pressure differential across the valve.
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