A piston-cylinder assembly contains nitrogen gas with a mass of my- 0.2 kg. At the initial state (state 1), the pressure and temperature of the nitrogen are P, - 100 kPa and T, - 100 °C, respectively. The nitrogen is compressed in a polytropic process with an exponent n 1.4. At the final state (state 2), the pressure of the nitrogen gas is P, 500 kPa. A copper plate inside the cylinder is in thermal equilibrium with the nitrogen gas at both the initial and the final states of the process. The mass of the copper plate is me-0.1 kg. The nitrogen can be treated as an ideal gas. (a) Determine the initial and final volume of the nitrogen gas (i.e., V, and V;). (b) Determine the final temperature of the nitrogen gas (i.e., T;). (c) Determine the total work of the process (i.e., W:).

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E.4) A cylinder and piston assembly contain water at 105°C and 85% quality, with a volume of one liter. The system heats up, causing the piston to rise and encounter a linear spring. At this point the volume is 1.5 liters, the piston diameter is 150 mm, and the spring constant is 100 N/mm. Heating continues, so the piston compresses the spring. Determine the pressure in the cylinder when the temperature reaches 600°C.

A vertical cylinder is fitted with a freely-moveable piston of 0.2 m diameter and contains 0.1 kg of (liquid) water. At the initial State 1, the water remains in equilibrium as saturated liquid at 15 "C with the piston applying a pressure of 7.0 bar on the water in the cylinder. The water is then slowly heated until the piston rises to a height of 0.6 m above its initial position to reach the equiliorium at State 2. The piston is now held fixed at this location and the cylinder contents are further heated to increase its pressure to 15 bar at State 3. (a) Find the volume of water at State 1. (b) Show that the cylinder contains saturated (wet) steam at State 2 and determine its dryness fraction at this state. (c) Find the steam temperature at State 3. On a T-v diagram, indicate the process undergone by the contents of the cylinder from State 1 to State 3.