Applying the Entropy Balance: Control VolumesA rigid,

Chapter 6, Problem 117P

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QUESTION:

A rigid, insulated tank whose volume is 10 L is initially evacuated. A pinhole leak develops and air from the surroundings at 1 bar, \(25^{\circ} \mathrm{C}\) enters the tank until the pressure in the tank becomes 1 bar. Assuming the ideal gas model with k = 1.4 for the air, determine (a) the final temperature in the tank, in \({ }^{\circ} \mathrm{C}\), (b) the amount of air that leaks into the tank, in g, and (c) the amount entropy produced, in J/K.

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QUESTION:

A rigid, insulated tank whose volume is 10 L is initially evacuated. A pinhole leak develops and air from the surroundings at 1 bar, \(25^{\circ} \mathrm{C}\) enters the tank until the pressure in the tank becomes 1 bar. Assuming the ideal gas model with k = 1.4 for the air, determine (a) the final temperature in the tank, in \({ }^{\circ} \mathrm{C}\), (b) the amount of air that leaks into the tank, in g, and (c) the amount entropy produced, in J/K.

ANSWER:

Step 1 of 2 We have to calculate the final temperature, amount of air leaks and the entropy produced.

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