Apply the ideal gas equation and calculate the volume (units: m3) for a single tank in at its fully pressurised state inside the plant room.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Apply the ideal gas equation and calculate the volume (units: m3) for a single tank in at its fully pressurised state inside the plant room.

CAES-Background Info to (Calculated) Questions
A small-scale Compressed Air Energy Storage (CAES) system uses gas tank storage,
with any single tank sized to carry a maximum 2000kg air. The air storage helps
support various fluid power (pneumatics) requirements, but also serves for energy
storage (at 100% charge).
The CAES system sits in a plant room at a geographical location with an environmental
temperature of 300K and ambient pressure of 1 atmosphere (101.325kPa). Due to the
presence of other equipment in the plant room and its built-up nature, is the
immediate surroundings from which tanks are filled are normally a little warmer
compared to the outside ambient air (but same ambient pressure). The plant room
itself is at 310K.The specification for a single tank stipulates it can only be filled with
(dry) air to a maximum (gauge) pressure of 500bar (at typical operating conditions).
When left inside the plant room, the CAES system eventually attains the plant room
temperature.
You may assume:
Steady state conditions apply
Negligible changes in kinetic and potential energy
• Thermal mass of the tank (metal) is negligible
• Air behaves as an ideal gas
●
A gas tank is rigid
Transcribed Image Text:CAES-Background Info to (Calculated) Questions A small-scale Compressed Air Energy Storage (CAES) system uses gas tank storage, with any single tank sized to carry a maximum 2000kg air. The air storage helps support various fluid power (pneumatics) requirements, but also serves for energy storage (at 100% charge). The CAES system sits in a plant room at a geographical location with an environmental temperature of 300K and ambient pressure of 1 atmosphere (101.325kPa). Due to the presence of other equipment in the plant room and its built-up nature, is the immediate surroundings from which tanks are filled are normally a little warmer compared to the outside ambient air (but same ambient pressure). The plant room itself is at 310K.The specification for a single tank stipulates it can only be filled with (dry) air to a maximum (gauge) pressure of 500bar (at typical operating conditions). When left inside the plant room, the CAES system eventually attains the plant room temperature. You may assume: Steady state conditions apply Negligible changes in kinetic and potential energy • Thermal mass of the tank (metal) is negligible • Air behaves as an ideal gas ● A gas tank is rigid
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