A 1000-gallon compressed air receiver cylindrical tank of internal diameter equal to 5.75 ft is connected to an air compressor that operates steadily delivering compressed air at a gage pressure equal to 1000 kPa and 57°C to a receiver tank. A valve between the compressor and the tank is opened to start the compressed air delivery to the receiver tank when in the tank there is residual compressed air at 400 kPa gage at 27°C; the air delivery process continues for 20 minutes until the gage pressure in the tank becomes equal to 800 kPa. You may assume that the heat and pressure losses from the compressor to the tank as it passes through the valve are negligible thus the supply conditions to the tank are 1000 kPa gage and 57°C. Based on prior experience and your knowledge about heat transfer by convection you have estimated that the average heat transfer rate possibly from the tank to the surroundings is 1020 W. The ambient atmospheric pressure is 100 kPa. Your job is to determine the following: The amount of air stored in the tank and the average temperature of the air in the receiver tank when the air delivery to the tank ceases. For your solution, please follow the steps below: a) Create a schematic for the compressor, valve and receiving tank. b) Do you expect that the mass in the tank will be larger or smaller than the initial value? Why? c) Is this a steady or unsteady flow process? Why?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A 1000-gallon compressed air receiver cylindrical tank of internal diameter equal to 5.75 ft is connected
to an air compressor that operates steadily delivering compressed air at a gage pressure equal to 1000
kPa and 57°C to a receiver tank.
A valve between the compressor and the tank is opened to start the compressed air delivery to the
receiver tank when in the tank there is residual compressed air at 400 kPa gage at 27°C; the air delivery
process continues for 20 minutes until the gage pressure in the tank becomes equal to 800 kPa. You may
assume that the heat and pressure losses from the compressor to the tank as it passes through the valve
are negligible thus the supply conditions to the tank are 1000 kPa gage and 57°C.
Based on prior experience and your knowledge about heat transfer by convection you have estimated
that the average heat transfer rate possibly from the tank to the surroundings is 1020 W.
The ambient atmospheric pressure is 100 kPa.
Your job is to determine the following:
The amount of air stored in the tank and the average temperature of the air in the receiver tank
when the air delivery to the tank ceases.
For your solution, please follow the steps below:
a) Create a schematic for the compressor, valve and receiving tank.
b) Do you expect that the mass in the tank will be larger or smaller than the initial value? Why?
c) Is this a steady or unsteady flow process? Why?
Transcribed Image Text:A 1000-gallon compressed air receiver cylindrical tank of internal diameter equal to 5.75 ft is connected to an air compressor that operates steadily delivering compressed air at a gage pressure equal to 1000 kPa and 57°C to a receiver tank. A valve between the compressor and the tank is opened to start the compressed air delivery to the receiver tank when in the tank there is residual compressed air at 400 kPa gage at 27°C; the air delivery process continues for 20 minutes until the gage pressure in the tank becomes equal to 800 kPa. You may assume that the heat and pressure losses from the compressor to the tank as it passes through the valve are negligible thus the supply conditions to the tank are 1000 kPa gage and 57°C. Based on prior experience and your knowledge about heat transfer by convection you have estimated that the average heat transfer rate possibly from the tank to the surroundings is 1020 W. The ambient atmospheric pressure is 100 kPa. Your job is to determine the following: The amount of air stored in the tank and the average temperature of the air in the receiver tank when the air delivery to the tank ceases. For your solution, please follow the steps below: a) Create a schematic for the compressor, valve and receiving tank. b) Do you expect that the mass in the tank will be larger or smaller than the initial value? Why? c) Is this a steady or unsteady flow process? Why?
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