Applying the Entropy Balance: Control VolumesA 180-ft3

Chapter 6, Problem 121P

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QUESTION:

A \(180-\mathrm{ft}^{3}\) tank initially filled with air at 1 atm and \(70^{\circ} \mathrm{F}\) is evacuated by a device known as a vacuum pump, while the tank contents are maintained at \(70^{\circ} \mathrm{F}\) by heat transfer through the tank walls. The vacuum pump discharges air to the surroundings at the temperature and pressure of the surroundings, which are 1 atm and \(70^{\circ} \mathrm{F}\), respectively. Determine the minimum theoretical work required, in Btu.

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QUESTION:

A \(180-\mathrm{ft}^{3}\) tank initially filled with air at 1 atm and \(70^{\circ} \mathrm{F}\) is evacuated by a device known as a vacuum pump, while the tank contents are maintained at \(70^{\circ} \mathrm{F}\) by heat transfer through the tank walls. The vacuum pump discharges air to the surroundings at the temperature and pressure of the surroundings, which are 1 atm and \(70^{\circ} \mathrm{F}\), respectively. Determine the minimum theoretical work required, in Btu.

ANSWER:

Solution

Step 1 of 5

In this problem, we have to find the minimum theoretical work required. The given data are as follows    

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