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The liquid storage-tank shown has two inlet streams with mass flow rates m, and m₂ & an exit stream with flow rate m, (with corresponding volumetric flow rates F₁, F2, & F3). The cylindrical tank is 2.5 m tall & 2 m diameter. The liquid has a density of 800 kg/m³. Normal operating procedure is to fill the tank until the liquid level reaches a nominal value of 1.75 m using constant flow rates: m₂ = 120 kg/min, m₂ = 100 kg/min, and m₂ = 200 kg/min. At that point, inlet flow rate m, is adjusted so that the level remains constant. F=0.025√h-1 where h is in meters. CBEN403A Spring 2024 2.5 m -1- h However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow rate F. (m³/min) can be approximated by m₂ 1 m F₁ January 5, 2024 a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion point? b. If mass flow rates m, m₂, & m₂ are kept constant indefinitely (i.e., m, is not adjusted), will the tank overflow? Justify your answer.

The liquid storage-tank shown has two inlet streams with mass flow rates m, and m₂ & an exit stream with flow rate m, (with corresponding volumetric flow rates F₁, F2, & F3). The cylindrical tank is 2.5 m tall & 2 m diameter. The liquid has a density of 800 kg/m³. Normal operating procedure is to fill the tank until the liquid level reaches a nominal value of 1.75 m using constant flow rates: m₂ = 120 kg/min, m₂ = 100 kg/min, and m₂ = 200 kg/min. At that point, inlet flow rate m, is adjusted so that the level remains constant. F=0.025√h-1 where h is in meters. CBEN403A Spring 2024 2.5 m -1- h However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow rate F. (m³/min) can be approximated by m₂ 1 m F₁ January 5, 2024 a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion point? b. If mass flow rates m, m₂, & m₂ are kept constant indefinitely (i.e., m, is not adjusted), will the tank overflow? Justify your answer.

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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The liquid storage-tank shown has two inlet streams with mass flow rates m, and m₂ & an exit stream with flow rate m, (with corresponding volumetric flow rates F₁, F2, & F3). The cylindrical tank is 2.5 m tall & 2 m diameter. The liquid has a density of 800 kg/m³. Normal operating procedure is to fill the tank until the liquid level reaches a nominal value of 1.75 m using constant flow rates: m₂ = 120 kg/min, m₂ = 100 kg/min, and m₂ = 200 kg/min. At that point, inlet flow rate m is adjusted so that the level remains constant. where h is in meters. CBEN403A Spring 2024 2.5 m -1- h However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow rate F₂ (m³/min) can be approximated by F₂=0.025√/h-1 1 m F₂ January 5, 2024 a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion point? b. If mass flow rates m, m₂, & m, are kept constant indefinitely (i.e., m is not adjusted), will the tank overflow? Justify your answer.
Transcribed Image Text:The liquid storage-tank shown has two inlet streams with mass flow rates m, and m₂ & an exit stream with flow rate m, (with corresponding volumetric flow rates F₁, F2, & F3). The cylindrical tank is 2.5 m tall & 2 m diameter. The liquid has a density of 800 kg/m³. Normal operating procedure is to fill the tank until the liquid level reaches a nominal value of 1.75 m using constant flow rates: m₂ = 120 kg/min, m₂ = 100 kg/min, and m₂ = 200 kg/min. At that point, inlet flow rate m is adjusted so that the level remains constant. where h is in meters. CBEN403A Spring 2024 2.5 m -1- h However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow rate F₂ (m³/min) can be approximated by F₂=0.025√/h-1 1 m F₂ January 5, 2024 a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion point? b. If mass flow rates m, m₂, & m, are kept constant indefinitely (i.e., m is not adjusted), will the tank overflow? Justify your answer.
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