Using Energy Concepts and the Ideal Gas ModelAs

Chapter 3, Problem 132P

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QUESTION:

As shown in Fig. P3.132, a rigid tank initially contains \(3 \mathrm{~kg}\) of carbon dioxide \(\left(\mathrm{CO}_2\right)\) at \(500 \mathrm{kPa}\). The tank is connected by a valve to a piston-cylinder assembly located vertically above, initially containing $\(0.05 \mathrm{~m}^3\) of \(\mathrm{CO}_2\). Although the valve is closed, a slow leak allows \(\mathrm{CO}_2\) to flow into the cylinder from the tank until the tank pressure falls to \(200 \mathrm{kPa}\). The weight of the piston and the pressure of the atmosphere maintain a constant pressure of \(200 \mathrm{kPa}\) in the cylinder. Owing to heat transfer, the temperature of the \(\mathrm{CO}_2\) throughout the tank and cylinder stays constant at \(290 \mathrm{~K}\). Assuming ideal gas behavior, determine for the \(\mathrm{CO}_2\) the work and heat transfer, each in kJ.

                                                     

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QUESTION:

As shown in Fig. P3.132, a rigid tank initially contains \(3 \mathrm{~kg}\) of carbon dioxide \(\left(\mathrm{CO}_2\right)\) at \(500 \mathrm{kPa}\). The tank is connected by a valve to a piston-cylinder assembly located vertically above, initially containing $\(0.05 \mathrm{~m}^3\) of \(\mathrm{CO}_2\). Although the valve is closed, a slow leak allows \(\mathrm{CO}_2\) to flow into the cylinder from the tank until the tank pressure falls to \(200 \mathrm{kPa}\). The weight of the piston and the pressure of the atmosphere maintain a constant pressure of \(200 \mathrm{kPa}\) in the cylinder. Owing to heat transfer, the temperature of the \(\mathrm{CO}_2\) throughout the tank and cylinder stays constant at \(290 \mathrm{~K}\). Assuming ideal gas behavior, determine for the \(\mathrm{CO}_2\) the work and heat transfer, each in kJ.

                                                     

ANSWER:

Solution 132P

Step 1 of 5

To find the work and heat transfer for carbon dioxide.

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