Write out in words a general expression of the conservation of energy principle applied to a finite time interval. Use this expression to answer the following questions:

At the start of a process, the system energy is 14 kJ. During a process, 2000 lbf*ft ofenergy enters the system as work and 5 Btu of energy exits as a heat interaction. The energy change for the system is (positive, negative, zero)? Give the numerical value.The energy of the system at the end of the process (can or cannot) be determined fromthe given information? Give the numerical value, if possible.

b. (10 points) Write out in words a general expression of the conservation of energy principle applied to an instant, that is, an infinitesimal time interval. Use this expression to answer thefollowing questions:

At an instant, energy enters the system as a heat interaction at a rate of 16 kJ/s and energy exits the system as a work interaction at a rate of 30 kJ/s. The rate of change ofthe system energy is (positive, negative, zero)? Give the numerical value. Is the systemtemperature increasing, decreasing, or constant? Explain your answers.

2. (10 points) You encounter a piston/cylinder arrangement (these things happen when you takethermodynamics…) in the configuration shown in the figure below. A note left by the side ofthe experiment indicates the mass of the piston (MP) and the area of the piston (AP). Youalso see a barometer next to the experiment that reads the atmospheric pressure (Patm). Thepiston is motionless and is not affixed to the cylinder in any way. Calculate the pressure of the gas inside the piston. (Picture will be attached file)

3. (20 points) Define thermodynamic equilibrium and explain the four criteria we discussed thatconstitute thermodynamic equilibrium. For each criterion, give an example of a system that is in that type of equilibrium and one example of a system that is NOT in that type of equilibrium.With each example, provide a short explanation as to why it is/is not in equilibrium

4. (20 points) Do some research on how a Stirling Engine works (Wikipedia is a good start).For the Stirling engine, identify the following:

a. Sketch the device

b. Name a few potential working fluids

c. Dawn a proper system/control volume for calculating the work output of the engine

d. Heat and mass flows (if there are any) in and out of this system/control volumee. Four important thermodynamic properties of the working fluid we might want to knowto calculate how much work this engine can producef. Describe the processes the working fluid goes through as the engine runs.

5. (15 points) A sealed cylindrical vessel has the inner dimensions of 58.2 inches tall and 9inches in diameter. The vessel holds 25 lb of nitrogen at 2900 psi.

a. Convert these specifications into SI units. What is the volume of the vessel in SIunits?

b. How many moles of nitrogen are in the vessel?

c. What is the particular gas constant of nitrogen? The particular gas constant isdefined as