(Solved): Being able to identify processes and draw process diagrams will prove to be critical to your unders ...

Being able to identify processes and draw process diagrams will prove to be critical to your understanding of thermodynamics. This problem will help you build this skill. Consider a piston-cylinder assembly that goes through the following processes to form a cycle: Process 1-2: Isobaric expansion at \( 100 \mathrm{kPa} \) from \( \mathrm{V}_{1}=1 \mathrm{~m}^{3} \) to \( V_{2}=4 \mathrm{~m}^{3} \) Process 2-3: Isochoric compression to \( 200 \mathrm{kPa} \) Process 3-4: Isobaric compression to \( 2 \mathrm{~m}^{3} \) Process 4-1: Compression with \( \mathrm{pV}^{-1}= \) constant a) The gas inside the piston-cylinder assembly is a fixed quantity of air with a mass of \( 2 \mathrm{~kg} \). Should this system be evaluated as a closed system or an open system? Explain why. b) Explain why volume is an extensive property. c) Thermodynamic analysis is usually more easily done using intensive properties. The intensive property equivalent of volume, \( V \) (units of \( \mathrm{m}^{3} \) ) is specific volume, \( v \) (units of \( \mathrm{m}^{3} / \mathrm{kg} \) ). What are the specific volumes at state \( 1,2,3 \), and 4 (corresponding to \( v_{1}, v_{2}, v_{3} \), and \( v_{4} \), respectively)? d) Sketch the cycle on a P-v diagram (i.e., place specific volume on the \( x \)-axis). Your diagram doesn't need to be exactly to scale, but do your best to make it look reasonable. Label each state with an appropriate number label and the corresponding numeric values for \( (P, v) \).