As shown in Fig. P3.134, a rigid tank initially contains 3

Chapter 3, Problem 3.134

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As shown in Fig. P3.134, a rigid tank initially contains 3 kg of carbon dioxide (\(\mathrm{CO}_{2}\)) at 500 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 kPa. The weight of the piston and the pressure of the atmosphere maintain a constant pressure of 200 kPa in the cylinder. Owing to heat transfer, the temperature of the \(\mathrm{CO}_{2}\) throughout the tank and cylinder stays constant at 290 K. Assuming ideal gas behavior, determine for the \(\mathrm{CO}_{2}\) the work and heat transfer, each in kJ.