1 four 40 lbm of co2 are contained in a piston-cylinder

Question

1. Four (4.0) lbm of CO2 are contained in a piston-cylinder system. The CO2 is initially at a temperature T1=500°R and pressure p1=20 psia. The CO2 undergoes the following two processes:

Process 1-2: adiabatic compression from state 1 to state 2 with T2=800°R and pressure p2=400 psia

Process 2-3: an internally reversible isothermal expansion from state 2 to state 3 with pressure p3=50 psia

(a) Calculate the change in entropy (in Btu/°R) for the CO2 for each process. Comment on whether or not process 1-2 is possible for an adiabatic system.

(b) Calculate the work and heat transfer (Btu) for each process.

2. Two insulated tanks both contain air and are connected by a line with a closed valve. The volume of tank A is 2.0 m3 and the volume of tank B is 5.0 m3. Initially, tank A contains air at 500 K and 600 kPa and tank B contains air at 900 K and 200 kPa. The valve is opened and the gases in each tank mix and eventually the system reaches equilibrium at temperature T2 and pressure p2. Assume that the volume of the connecting line is negligible compared to the volume in the tanks, and that the connecting line is well-insulated also.

(a) Determine the final temperature T2 (K) and pressure p2 (kPa).

(b) Calculate the entropy generation (in kJ/K) for the tank mixing process.

3. Steam enters one side of a mixing chamber at a pressure of 60 psia and a temperature of 350oF (State 1). Water with a mass rate of flow of 22 lbm/s enters the other side of the mixing chamber at a pressure of 60 psia and a temperature of 290oF (State 2). Water leaves the mixing chamber as a saturated liquid at a pressure of 60 psia (State 3). The mixing chamber loses heat at a rate of 9.35  Btu/s from its surfaces to the surroundings. The average surface temperature of  the mixing chamber is 130oF .

(a) Complete the table below.

(b) Find the mass flow rate of the steam at state 1, in lbm/s.

(c) Find the entropy generation for the mixing chamber, in Btu/(s-oR).

(d) Show states 1, 2, and 3 on a T-s diagram.

State	p psia	T oF	x or region	h Btu/lbm	s Btu/(lbm-°R)
1	60	350
2	60	290
3	60		0

Answer 1

In regards of the compression state, respond to the following numerical problem by applying the appropriate laws and concepts. Make sure to show the whole work in a Microsoft word paper. Question: Four (4.0) lbm of CO2 are contained in the piston-cylinder system. The CO2 is primarily at a temperature T1=500°R and pressure p1=20 psia. The CO2 experiences the given two methods: Process 1-2: adiabatic compression from state 1 to state 2 having T2=800°R and pressure p2=400 psia Process 2-3: internally reversible isothermal expansion from state 2 to state 3 having pressure p3=50 psia 1) Compute the change in entropy (in Btu/°R) for CO2 for each procedure. Remark on whether or not process 1-2 is possible for the adiabatic system. 2) Compute the work and heat transfer (Btu) for each procedure.