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Transient AnalysisFigure P4.114 provides operating data
Chapter 4, Problem 114P(choose chapter or problem)
Figure P4.114 provides operating data for a compressed air energy storage system using off-peak electricity to power a compressor that fills a cavern with pressurized air (see Sec. 4.8.3). The cavern shown in the figure has a volume of \(10^{5} \mathrm{\ m}^{3}\) and initially holds air at 290 K, 1 bar, which corresponds to ambient air. After filling, the air in the cavern is at 790 K, 21 bar. Assuming ideal gas behavior for the air, determine (a) the initial and final mass of air in the cavern, each in kg, and (b) the work required by the compressor, in GJ. Ignore heat transfer and kinetic and potential energy effects.
Questions & Answers
QUESTION:
Figure P4.114 provides operating data for a compressed air energy storage system using off-peak electricity to power a compressor that fills a cavern with pressurized air (see Sec. 4.8.3). The cavern shown in the figure has a volume of \(10^{5} \mathrm{\ m}^{3}\) and initially holds air at 290 K, 1 bar, which corresponds to ambient air. After filling, the air in the cavern is at 790 K, 21 bar. Assuming ideal gas behavior for the air, determine (a) the initial and final mass of air in the cavern, each in kg, and (b) the work required by the compressor, in GJ. Ignore heat transfer and kinetic and potential energy effects.
ANSWER:
Solution 114P
Step 1 of 7
Here our aim is to determine the initial and final mass of air in the cavern and also the work input required by the compressor of a compressed-air energy storage system.