; An air tank has a volume of 2 m³. In the beginning the air pressure in the tank is 150 kPa. Then comprssed air is continuously pumped through a hose into the tank at a volumetric flow rate Q = m/min, where p is the density of air in the tank in kg/m³. As the air enters the tank, its temperature is 30 °C, and the gas constant for air is 287 J/(kg-K). a) Please determine the initial density of the air within the tank (Hint: p = P/RT). b) Please determine the rate at which the density of the air within the tank is changing in the dp beginning, i.e. ). O =? t=0 c) Please calculate the pressure in the tank after 5 minutes. A
; An air tank has a volume of 2 m³. In the beginning the air pressure in the tank is 150 kPa. Then comprssed air is continuously pumped through a hose into the tank at a volumetric flow rate Q = m/min, where p is the density of air in the tank in kg/m³. As the air enters the tank, its temperature is 30 °C, and the gas constant for air is 287 J/(kg-K). a) Please determine the initial density of the air within the tank (Hint: p = P/RT). b) Please determine the rate at which the density of the air within the tank is changing in the dp beginning, i.e. ). O =? t=0 c) Please calculate the pressure in the tank after 5 minutes. A
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Fluid
Transcribed Image Text:beginning, i.e. Cat)t=0
4)
, An air tank has a volume of 2 m. In the beginning the air pressure in the tank is 150 kPa. Then
comprssed air is continuously pumped through a hose into the tank at a volumetric flow rate Q =
m/min, where p is the density of air in the tank in kg/m³. As the air enters the tank, its temperature is 30 °C,
and the gas constant for air is 287 J/(kg-K).
a)
Please determine the initial density of the air within the tank (Hint: p = P/RT).
b)
Please determine the rate at which the density of the air within the tank is changing in the
dp
=?
c)
Please calculate the pressure in the tank after 5 minutes.
5
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