A piston/cylinder assembly with a spring contains 0.075 kg of water. The piston is initially resting on the stops and the water has a temperature of T1 = 80°C and a quality of x1 = 30%. Heat is added to the water causing the %3D piston to lift off the stops, rise up and compress the spring. Heating contin- ues until a final state is reached and the pressure is 200 kPa. The vertical distance between the top of the piston when it is resting on the stops and the bottom of the spring is Ay = 0.6 m, as shown in the figure. Assume the piston is massless (m, = 0), the area of the piston is A, = 0.12 m², the spring constant is k, = 40 kN/m and atmospheric pressure is Po = 100 kPa. a) Determine the volume, pressure and temperature of the water when the piston just lifts off the stops, V2, P2 and T2. b) Determine the pressure and specific volume of the water when the piston just touches but is not yet compressing the spring, P3 and v3. c) Determine the final volume of water in the piston/cylinder assem- bly, V4. d) Calculate the total work done from the initial state to the final state.

The piston-cylinder system shown in the figure contains water at 1 MPa and 300°C,and secured by a pin initially. Spring at this first state is unloaded. Density of the piston materialis 5000 kg/m3, atmospheric pressure is 95 kPa and gravitational acceleration is 9.8 m/s2. a) Whatis the state of water, and its mass at this state? Now, the pin is removed and piston is free tomove. When the equilibrium is reached, volume of water is doubled. During this process, assumepiston-cylinder system is isothermal. b) What is the pressure at this second state? c) What is thespring constant in N/m? Finally, the piston-cylinder system is cooled down so that the piston canbe secured back again using the pin (i.e., returns to its initial position.) d) What is the pressureand temperature at this third state, find the quality of water if applicable? e) Draw the wholeprocess in a P-v diagram, clearly indicate the direction of each process and label each stat

Can you do Part A and B.

4. A vessel of volume 0.2 m3 contains Nitrogen at 1,013 KPa and 15° C. If 0.2 kg Nitrogen is now pumped into the vessel, calculate the new pressure when the vessel has returned to its initial temperature.

2. 0.3 kg of carbon dioxide is contained in the cylinder with the piston. Initial conditions are 200 kPa, 30 °C. It was compressed to 600 kPa by an isothermal process (a process where the temperature is constant). Find out what has been done during this process.

4. Arigid tank contains 2 kg of air. The tank is initially at 25°C. The tank is heated until the pressure doubles. Determine the final temperature in Kelvins and the change in internal energy in kJ.

A rigid steel tank contains a mixture of vapor and liquid water at a temperature of65 C. The tank has a volume of 0.5 m3. The liquid phase occupying 30% of thevolume. Determine the amount of heat added to the system to raise the pressureto 3.5 MPa.

Derive that   for the constant pressure process.

please solve this question. Thank you very much

One kilogram of air is compressed from a volume of 1.0 m and a pressure of 100 kPa to a volume of 0.147 m and a pressure of 1000 kPa. Assuming that the compression follows the law pu" the work done during the compression process. = constant, find