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1. Consider the process of filling a tank with compressed air from a constant pressure supply. The tank has a volume of 500 ft³ and initially is at atmospheric pressure and 60°F. The tank is connected to a high pressure air line that contains a control valve. The valve is quickly opened when the filling process begins, and the flow rate of air through the valve and entering the tank is given by the following equation: w = 50 (AP)!/2 where w is the mass flow rate in lb.m/min and AP is the difference between the supply pressure and the air pressure in the tank in units of psi. Determine the time required to fill the tank to a pressure of 420 psia if the supply pressure is 450 psia and the process is isothermal.

1. Consider the process of filling a tank with compressed air from a constant pressure supply. The tank has a volume of 500 ft³ and initially is at atmospheric pressure and 60°F. The tank is connected to a high pressure air line that contains a control valve. The valve is quickly opened when the filling process begins, and the flow rate of air through the valve and entering the tank is given by the following equation: w = 50 (AP)!/2 where w is the mass flow rate in lb.m/min and AP is the difference between the supply pressure and the air pressure in the tank in units of psi. Determine the time required to fill the tank to a pressure of 420 psia if the supply pressure is 450 psia and the process is isothermal.

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
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1. Consider the process of filling a tank with compressed air from a constant pressure supply. The tank has a volume of 500 ft³ and initially is at atmospheric pressure and 60°F. The tank is connected to a high pressure air line that contains a control valve. The valve is quickly opened when the filling process begins, and the flow rate of air through the valve and entering the tank is given by the following equation: w = 50 (AP)/2 where w is the mass flow rate in lbm/min and AP is the difference between the supply pressure and the air pressure in the tank in units of psi. Determine the time required to fill the tank to a pressure of 420 psia if the supply pressure is 450 psia and the process is isothermal.
Transcribed Image Text:1. Consider the process of filling a tank with compressed air from a constant pressure supply. The tank has a volume of 500 ft³ and initially is at atmospheric pressure and 60°F. The tank is connected to a high pressure air line that contains a control valve. The valve is quickly opened when the filling process begins, and the flow rate of air through the valve and entering the tank is given by the following equation: w = 50 (AP)/2 where w is the mass flow rate in lbm/min and AP is the difference between the supply pressure and the air pressure in the tank in units of psi. Determine the time required to fill the tank to a pressure of 420 psia if the supply pressure is 450 psia and the process is isothermal.
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