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A 10-m3 tank contains nitrogen at 25°C and 800 kPa. Some

Chapter 2, Problem 104P

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QUESTION:

A \(10-\mathrm{m}^{3}\) tank contains nitrogen at \(25^{\circ} \mathrm{C}\) and \(800 \mathrm{kPa}\). Some nitrogen is allowed to escape until the pressure in the tank drops to \(600 \mathrm{kPa}\). If the temperature at this point is \(20^{\circ} \mathrm{C}\), determine the amount of nitrogen that has escaped.

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QUESTION:

A \(10-\mathrm{m}^{3}\) tank contains nitrogen at \(25^{\circ} \mathrm{C}\) and \(800 \mathrm{kPa}\). Some nitrogen is allowed to escape until the pressure in the tank drops to \(600 \mathrm{kPa}\). If the temperature at this point is \(20^{\circ} \mathrm{C}\), determine the amount of nitrogen that has escaped.

ANSWER:

Step 1 of 4 

We need to find the amount of nitrogen that escaped from the tank. To find the amount of nitrogen escaped, we will consider the volume of tank to remain constant. Then compute the amount of nitrogen available in the tank initially and the amount of nitrogen after the gas is allowed to escape. The net amount is the amount of nitrogen that escaped.

Volume of the tank = \(10\ m^3\)

Initial pressure = 800 kPa

Final pressure = 600 kPa

Initial temperature = 25°C = 298K

Final temperature = 20°C= 293K

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