A rigid insulated tank is separated into two rooms by a stiff plate. Room A, of 0.5 m³, contains Nitrogen (N₂) at 250 kPa and 240 K and room B, of 1 m³, has Nitrogen (N₂) at 500 kPa and 1000 K. The plate is removed, and the Nitrogen comes to a uniform state without any heat transfer. Find the final pressure and temperature.

Initially 3 kg of saturated water mixture at 300 kPa with a quality of 0.8 is contained in a piston-cylinder device. The water is heated at a constant pressure until the temperature reaches 500°C. Use the properties for water on the second the third pages of the equation sheet. a. Find the work done during the process. b. Find the change in internal energy of the water. c. Find the heat transfer during the process. Is heat added or removed from the system?

Consider a balloon contains initially 40 liter of Helium at 105 kPa and 20 oC, The balloonis connected to a supply line of helium through a valve that is opened allowing helium tofurther fill the balloon to 150 kPa such that pressure in the balloon is expressed as: P =750 V0.5– 45, Where P is in kPa and V is m3. Considering Helium as ideal gas:a- Find the mass of Helium entered the balloon if the process is isothermal.b- Find the work done during the process.

An ideal gas initially occupying 0.020 m3 at 1.0 MPa is quasistatically expanded inside a piston-cylinder device at a constant pressure until its volume doubles. Next the expansion is continued at constant volume till the pressure reaches half of the initial pressure. Finally it is brought back to the initial state in a polytropic process with exponent n=1.6 a) Draw the processes on a P-v diagram and calculate the total work. b) Calculate the total heat transfered, what is the difference between the initial and final temperature?