Using Isentropic Processes/EfficienciesA tank initially

Chapter 6, Problem 169P

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A tank initially containing air at 30 atm and \(540^{\circ} \mathrm{F}\) is connected to a small turbine. Air discharges from the tank through the turbine, which produces work in the amount of 100 Btu. The pressure in the tank falls to 3 atm during the process and the turbine exhausts to the atmosphere at 1 atm. Employing the ideal gas model for the air and ignoring irreversibilities within the tank and the turbine, determine the volume of the tank, in \(\mathrm{ft}^{3}\). Heat transfer with the atmosphere and changes in kinetic and potential energy are negligible.

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