Consider the process of filling a tank with compressed air tank has a volume of 500 ft' 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 = 40 AP 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 prorcure of 160 nsia if the supply pressure is 200 psia and the process is isothermal.

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
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Consider the process of filling a tank with compressed air from a constant pressure supply. The
tank has a volume of 500 ft' 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:
%3D40VAP
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 160 psia if the supply pressure is 200 psia and the process is isothermal.
Transcribed Image Text:Consider the process of filling a tank with compressed air from a constant pressure supply. The tank has a volume of 500 ft' 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: %3D40VAP 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 160 psia if the supply pressure is 200 psia and the process is isothermal.
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