3. The internal energy of a certain substance is given by the following equation: u = 3.56 pv + 84 where u is given in kJ/kg ; p is in kPa and v is in m'/kg. A system composed of 3 kg of this substance expands from an initial pressure of 500 kPa and a volume of 0.22 m' to a final pressure of 100 kPa in a process in which pressure and volume are related by pv¹2 = constant. If the expansion is quasi-static, find the internal energy and the heat transfer during the process.

с raw A spring whose spring constant is 290 lbf/in has an initial force of 100 lbf acting on it. Determine the work, in Btu, required to compress it another 1 in. The work required to compress it another 1 in is 0.1863 Btu.

A piston–cylinder assembly contains 0.1 lb of propane. The propane expands from an initial state where p1 5 60 lbf/in.2and T1 5 30°F to a final state where p2 5 10 lbf/in.2 During the process, the pressure and specific volume are related by py2= constant. Determine the energy transfer by work, in Btu.

1Kg of water contained in a piston-cylinder assembly undergoes five processes in series as follows: Process 1-2: constant pressure heating at 10 bar from saturated vapor Process 2-3: constant volume cooling to P; = 5 bar and T; = 180°C Process 3-4: constant pressure compression to x=0.45 Process 4-5: constant volume heating to Ps = P1 Process 5-1: constant pressure heating to saturated vapor a. Sketch the above processes on both T-v and P-v diagrams b. Find quality at point 5, and the work done in each process

As shown on the right, a vertical piston–cylinder assembly containing a gas is placed on a hot plate. The piston initially rests on the stops. With the onset of heating, the gas pressure increases. At what pressure, in bar, does the piston start rising? The piston moves smoothly in the cylinder and g = 9.81 m/s2.

A piston-cylinder assembly contains a mystery substance that undergoes a series of processes. Process 1-->2: Constant pressure process at 5bar from v1=.07m3/kg to v2=.12m3/kg Process 2-->3: Constant volume process to saturated vapor Process 3-->4: Constant temperature process to quality of 50% Process 4-->5: Constant volume process to 5bar   Sketch the processes on Pt, Pv, and Tv, plots. Lable the axes including property values; use closed dots to show the states, use solid lines to connect the states, add number and arrows to make clear the states numbers and process directions.   Could this be considered a thermodynamic cycle?  Why or why not?

One third of a kilogram of a gas contained within a piston-cylinder undergoes a process at constant pressure at 400 kPa. The initial specific volume is 0.72 m^3/kg. The work for the gas in the system is -100 kJ/kg. Determine the final volume of the gas in m^3

2.25 One-fourth kg of a gas contained within a piston-cylinder assembly undergoes a constant-pressure process at 5 bar beginning at v = 0.20 m/kg. For the gas as the system, the work is -15 kl. Determine the final volume of the gas, in m'.

A closed, rigid, 0.55 m3 tank is filled with 12 kg of water.  The initial pressure is p1 = 20 bar.  The water is cooled until the pressure is p2 = 4 bar.  Determine the initial quality, x1, and the heat transfer, in kJ.

A piston-cylinder assembly contains a mystery substance that undergoes a series of processes. Process 1-->2: Constant pressure process at 5bar from v1=.07m3/kg to v2=.12m3/kg Process 2->3: Constant volume process to saturated vapor Process 3->4: Constant temperature process to quality of 50% Process 4->5: Constant volume process to 5bar Sketch the processes on Pt, Pv, and Tv, plots. Lable the axes including property values; use closed dots to show the states, use solid lines to connect the states, add number and arrows to make clear the states numbers and process directions. Could this be considered a thermodynamic cycle? Why or why not?