First Law of Thermodynamics

A piston cylinder device shown in figure below contains 3.06 kg of air initially at a temperature of 34°C. Heat is supplied to the system until it reaches to a final temperature of 950°C and a final pressure of 5 MPa. Sketch the process on P-v and T-v diagrams and determine the total work transfer and total heat transfer. [Take R = 287 J/kgK and c_v = 718 J/kgK].

A gas is held in a cylinder behind a piston undergoes a cycle composed of three process: Process 1-2: an adiabatic compression process. For this process W₁₋₂ = -58 kJ. Process 2-3: an expansion during which heat is added and work is done on the piston. Q₂₋₃ = 253 kJ, and W₂₋₃ = 95 kJ. Process 3-1: a cooling of the gas while the piston is stationary to bring the gas to its initial state. Sketch the cycle on P-v diagram. Determine the net heat transfer and heat transfer of process 3-1. Determine its network and confirm whether it is a power cycle or a refrigeration cycle.

An ideal gas undergoes a thermodynamic cycle consisting of the following three processing in series. Process 1-2: constant volume, V₁ = 0.1 m³, P₁ = 100 kPa, U₂-U₁ = 150 kJ. Process 2-3: expansion with PV = constant. Process 3-1: constant pressure, W₃₁ = -60 kJ. (a) Sketch the process on P-V and T-V diagram. (b) Calculate network for the cycle. (c) Calculate net heat for the cycle. (d) Calculate the heat transfer for the process 1-2. (e) Calculate the heat transfer for the process 2-3. (f) Calculate the heat transfer for the process 3-1. (g) Is this power cycle or a refrigerator cycle?