Answered: Consider a liquid flow system that…

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 that includes a sealed tank carrying non-condensable gas over the liquid as shown in the figure below. Derive an unsteady state model connecting the fluid level h to the input flow rate qi. Is the system operation independent of the ambient pressure Pa? What would be the case for a system open to the atmosphere?
You can make the following assumptions;
(i) Gas obeys the ideal gas law. There is a fixed amount of mg / M mol gas in the tank.
(ii) The study is isothermal.
(iii) Square root relation is valid for flow through valve

Definition Definition Law that is the combined form of Boyle's Law, Charles's Law, and Avogadro's Law. This law is obeyed by all ideal gas. Boyle's Law states that pressure is inversely proportional to volume. Charles's Law states that volume is in direct relation to temperature. Avogadro's Law shows that volume is in direct relation to the number of moles in the gas. The mathematical equation for the ideal gas law equation has been formulated by taking all the equations into account: PV=nRT Where P = pressure of the ideal gas V = volume of the ideal gas n = amount of ideal gas measured in moles R = universal gas constant and its value is 8.314 J.K-1mol-1 T = temperature

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