?Develop equations that may be solved to give the final temperature of the gas remaining

Chapter 3, Problem 3.26

(choose chapter or problem)

Develop equations that may be solved to give the final temperature of the gas remaining in a tank after the tank has been bled from an initial pressure \(P_{1}\) to a final pressure \(P_{2}\). Known quantities are initial temperature, tank volume, heat capacity of the gas, total heat capacity of the containing tank, \(P_{1}\), and \(P_{2}\). Assume the tank to be always at the temperature of the gas remaining in the tank and the tank to be perfectly insulated.

Text Transcription:

P_1

P_2

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