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1 Last Name: ___________________ First Name: Middle Initial: ME 200 – Thermodynamics I, Spring 2015, Exam 1, 6:30 p.m. to 7:30 p.m. on Feb. 10, 2015 CIRCLE YOUR LECTURE BELOW: 7:30 a.m. 10:30 a.m. 12:30 p.m. 2:30 p.m. 4:30 p.m. Joglekar Chen Chen Kittel Naik INSTRUCTIONS 1. This is a closed book examination. You are provided with an equation sheet and all the property tables needed. 2. Do not hesitate to ask the instructor if you do not understand a problem statement. 3. Start each problem on the same page as the problem statement. Write on only one side of the page. Materials on the back side of the page will not be graded. There are blank pages following problems 2 and 3 for your work. If you need extra pages, ask the instructor. 4. Put only one problem on a page. Another problem on the same page will not be graded. 5. Label your system and list relevant assumptions for problems 2 and 3. 6. If you give multiple solutions, you will receive only a partial credit although one of the solutions might be correct. Delete the solution you do not want graded. 7. For your own benefit, please write clearly and legibly. Maximum credit for each problem is indicated below. 8. After you have completed the exam, at your seat put your papers in order. This may mean that you have to remove the staple and re-staple. Do not turn in loose pages. 9. Once time is called you must stop working on the exam. Points will be subtracted if you continue working on the exam. Problem Possible Score 1 25 2 35 3 40 Total 100

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Page 1: Last Name: First Name: Middle Initial: CIRCLE YOUR ... Last Name: _____ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is

1

Last Name: ___________________ First Name: Middle Initial:

ME 200 – Thermodynamics I, Spring 2015, Exam 1, 6:30 p.m. to 7:30 p.m. on Feb. 10, 2015

CIRCLE YOUR LECTURE BELOW: 7:30 a.m. 10:30 a.m. 12:30 p.m. 2:30 p.m. 4:30 p.m. Joglekar Chen Chen Kittel Naik

INSTRUCTIONS 1. This is a closed book examination. You are provided with an equation sheet and all the property

tables needed. 2. Do not hesitate to ask the instructor if you do not understand a problem statement. 3. Start each problem on the same page as the problem statement. Write on only one side of the

page. Materials on the back side of the page will not be graded. There are blank pages following problems 2 and 3 for your work. If you need extra pages, ask the instructor.

4. Put only one problem on a page. Another problem on the same page will not be graded. 5. Label your system and list relevant assumptions for problems 2 and 3. 6. If you give multiple solutions, you will receive only a partial credit although one of the solutions

might be correct. Delete the solution you do not want graded. 7. For your own benefit, please write clearly and legibly. Maximum credit for each problem is

indicated below. 8. After you have completed the exam, at your seat put your papers in order. This may mean

that you have to remove the staple and re-staple. Do not turn in loose pages. 9. Once time is called you must stop working on the exam. Points will be subtracted if you

continue working on the exam.

Problem Possible Score

1 25

2 35

3 40

Total 100

Page 2: Last Name: First Name: Middle Initial: CIRCLE YOUR ... Last Name: _____ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is

2

Last Name: ___________________ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is no partial credit and your answer must be placed in the box. The standard problem solving procedure is not required for Problem 1. (a) Which of the following statements is correct?

A. ΔE is positive if work is done by the system and heat is added to the system B. ΔE is only positive if Q is positive. C. ΔV is positive when work is done by the system D. ΔV is positive only when Q is negative

(b) A system absorbs 72 J of heat while 35 J of work is done on it. What is the change in the internal energy of the system? A. 107 J B. 37 J C. -37 J D. -107 J

(c) Paths for two processes between states 1 and 2 are shown in the figure. Which of the following statements is true?

A. Path A produces more work than path B B. Path B produces more work than path A C. The work is the same between the two paths

 

(d) A mass of 5 kg has a velocity of 10 m/s, find the kinetic energy (kJ).

(e) A power cycle operates at 30% thermal efficiency with a heat rejection rate, outQ , of 35 kW.

Find the rate of heat input (kW).

A

B

1

2

V

P

Page 3: Last Name: First Name: Middle Initial: CIRCLE YOUR ... Last Name: _____ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is

3

Last Name: ___________________ First Name: Middle Initial: Problem 2: (35/100 points) Given: A well-insulated piston-cylinder device initially contains 0.1 kg of saturated water vapor

at temperature of 100C (State 1). An electric resistor within the cylinder receives a current of 1 A from an external battery of 100 V for a duration of 1 minute during which the piston moves slowly such that Pv = constant is valid during the process. At the end of the process, the pressure inside the cylinder is 0.7 bar (State 2).

Find: (a) What is the initial pressure (kPa) and specific volume (m3/kg)?

(b) Calculate the final specific volume (m3/kg). (c) Determine the work (kJ) due to piston movement during the process. Is this work

done by the system or on the system? (d) Find the work (kJ) due to current flow during the process. Is this work done by the

system or on the system? (e) Show the process on P-v diagram with respect to saturation vapor dome.

System sketch: (e) Assumptions: Basic equations:

v

P

Page 4: Last Name: First Name: Middle Initial: CIRCLE YOUR ... Last Name: _____ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is

4

Last Name: ___________________ First Name: Middle Initial: Solution: (a)

Page 5: Last Name: First Name: Middle Initial: CIRCLE YOUR ... Last Name: _____ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is

6

Last Name: ___________________ First Name: Middle Initial: Problem 3: (40/100 points) Given: A 5 ft3 rigid vessel initially contains 250 lbm of refrigerant-134a at -30oF in liquid-vapor

mixture (State 1). Heat is added into the vessel until it finally becomes saturated (State 2). Do not interpolate; use the closest table value.

Find: (a) Determine the quality of the initial state; (b) Complete the following table;

State T (oF) P (psi) v (ft3/lbm) u (Btu/lbm)

1 -30

2 (c) Calculate the heat added (Btu);

(d) Show the process on P-v diagram with respect to saturation vapor dome. System sketch: (d) Assumptions: Basic equations:

v

P

Page 6: Last Name: First Name: Middle Initial: CIRCLE YOUR ... Last Name: _____ First Name: Middle Initial: Problem 1: (25/100 points) Each part of this problem is worth 5 points. There is

7

Last Name: ___________________ First Name: Middle Initial: Solution: (a)


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