ME 24-221
Thermodynamics I
Solution to Assignment No: 3
Fall 2000
Instructor: J.Murthy
4.11
Solution:
Tr1 =
a)
T
573.15
=
= 1.35;
Tc
425.2
P r1 =
Z1 = 0.99
From the generalized chart in figure D.1
Tr2 =
T
573.15
=
= 1.35;
Tc
425.2
P
100
=
= 0.026
P c 3800
ME 24-221
Thermodynamics I
Solution to Assignment No: 2
Due Date: 15 September 2000
Fall 2000
Instructor: J.Murthy
3.9
A 1-m3 rigid tank with air at 1 MPa, 400 K is connected to an air line as shown in
Fig. P3.9. The valve is opened and air flows into the
ME 24-221
Thermodynamics I
Solution to Assignment No: 4
Due Date: 29 September 2000
Fall 2000
Instructor: J.Murthy
Pb # 5.7
Solution:
a) Table B.1.1: uf < u < ug => 2-phase mixture of liquid and vapor
x = (u uf)/ ufg = (2390 376.82)/2117.7 = 0.9506
v = vf
ME 24-221
Thermodynamics I
Solution to Assignment No: 5
Due Date: 13 October 2000
Fall 2000
Instructor: J.Murthy
5.60
A copper block of volume 1 L is heat treated at 500C and now cooled in a 200-L oil
bath initially at 20C, shown in Fig. P5.60. Assuming n
ME 24-221
THERMODYNAMICS I
Solutions to Assignment 12
J. Murthy
December 11, 2000.
11.49 A Brayton cycle inlet is at 300 K, 100 kPa and the combustion adds 670 kJ/kg.
The maximum temperature is 1200 K due to material considerations. What is the
maximum al
ME 24-221
THERMODYNAMICS I
Solutions to Assignment 9
November 17, 2000
Fall 2000
J. Murthy
8.4
In a Carnot engine with water as the working fluid, the high temperature is 250C
and as QH is received, the water changes from saturated liquid to saturated vap
ME 24-221
Thermodynamics I
Solution to Assignment No: 7
Due Date: 27 October 2000
Fall 2000
Instructor: J.Murthy
Pb# 6.41
Supply state 1: 20 kg/s at 10 MPa, 500C
1
2
3
Process steam 2: 5 kg/s, 0.5 MPa, 155 C,
Exit state 3: 20 kPa, x = 0.9
Table B.1:
h1 =
ME 24-221
THERMODYNAMICS I
Solutions to Assignment 11
December 1, 2000
J. Murthy
11.4
A steam power plant operating in an ideal Rankine cycle has a high pressure of 5
MPa and a low pressure of 15 kPa. The turbine exhaust state should have a quality
of at
ME 24-221
THERMODYNAMICS I
Solutions to Assignment 10
November 27, 2000
J. Murthy
9.5
Air at 100 kPa, 17C is compressed to 400 kPa after which it is expanded through
a nozzle back to the atmosphere. The compressor and the nozzle are both
reversible and ad
ME 24-221
Thermodynamics I
Solution to Assignment No: 8
Due Date: November 3, 2000
Fall 2000
Instructor: J.Murthy
7.17
A cyclic machine, shown in Fig. P7.17, receives 325 kJ from a 1000 K energy
reservoir. It rejects 125 kJ to a 400 K energy reservoir and
ME 24-221
Thermodynamics I
Quiz No: 1
15 September 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
A piston-cylinder assembly contains a gas at a pressure at 200 kPa. If the area of cross-section of the piston is 0.01 m2
and the mass of
ME 24-221
Thermodynamics I
Quiz No: 2
September 22 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
A closed rigid tank initially contains water at a pressure of 1MPa and a specic volume of 0.23268 m3 /kg. It is cooled to
a temperature of
ME 24-221
Thermodynamics I
Quiz No: 4
27 October, 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
Consider the mixing chamber shown below. Two steady streams of air enter the chamber. Stream 1 has a mass ow rate
of 0.1 kg/s, and is at 10
ME 24-221
Thermodynamics I
Quiz No: 3
September 29 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
Carbon dioxide is contained in a piston-cylinder assembly and undergoes an isothermal process. The initial pressure and
temperature are 0.
ME 24-221
Thermodynamics I
Quiz No: 6
17 November, 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
Two kilograms of water are contained in a closed system, and are in the saturated liquid state at 100 kPA. The water is
heated in a consta
ME 24-221
Thermodynamics I
Quiz No: 5
3 November, 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
A rigid tank is initially evacuated. A valve on the tank is opened and air from a supply line at 20 C and 1 MPa ows into
the tank until the
ME 24-221
Thermodynamics I
Quiz No: 7
December 1, 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
Air is enters a compressor at a pressure of 500 kPa and 300 K, and exits at a pressure of 5.873 MPa. If the exit temperature
of the actual
ME 24-221
Thermodynamics I
Quiz No: 8
December 8, 2000
Instructor: J. Murthy
15 minutes
Open textbook, closed notes
An ideal air standard Brayton cycle operates between a low pressure of 100 kPa and and a high pressure of 1 Mpa. The
lowest temperature in
ME 24-221
Thermodynamics I
Solution for the Final Exam
Fall 2000
December 19, 2000
1.
Given: 5kg of water;
State 1: P1 = 100 kPa, T1 = 15oC (= 288.15 K)
State 2: T2 = 60oC (=333.15 K)
Surroundings at 25oC (298.15 K)
500 kJ of work is done on the water, wh
ME 24-221
THERMODYNAMICS I
Solution to Exam 2
Date: November 6, 2000
J. Murthy
Solution to Pb.1:
Given: Refrigerator
TL = -5oC = 268.15 K
TH = 27oC = 300.15 K
claimed = 10
carnot is the maximum C.O.P one can get.
carnot =
TL
268.15
=
= 8.38
TH TL
32
claim
ME 24-221
THERMODYNAMICS I
Solution to First Mid-Term Exam
October 5, 2000
Instructor: Dr. Murthy
Problem 1: Given: Closed rigid tank containing water
Initial state 1: water at critical point
Final state 2: T2 = 100 oC
To find: Final quality
Solution: Cri
ME 24-221
Thermodynamics I
Second Mid-Term Examination
6 November 2000
Fall 2000
Instructor: J. Murthy
Open book, open notes
50 minutes
Total: 25 points
Problem 1: 5 points; Problem 2: 10 points; Problem 3: 10 points
1. A refrigerator salesman claims that
ME 24-221
Thermodynamics I
Final Examination
19 December 2000
Instructor: J. Murthy
Open book, open notes
3 hours
Total: 60 points
Problem 1: 10 points; Problem 2: 10 points; Problem 3: 20 points; Problem 4: 20 points
1. A rigid tank contains air 5 kg of
ME 24-221
Thermodynamics I
First Mid-Term Examination
6 October 2000
Fall 2000
Instructor: J. Murthy
Open book, open notes
50 minutes
Total: 25 points
Problem 1: 5 points; Problem 2: 10 points; Problem 3: 10 points
1. A closed rigid vessel contains water
ME 24-221
Thermodynamics I
Solution to Assignment No: 1
Due Date: 8 September 2000
Fall 2000
Instructor: J.Murthy
2.12
A 5 m3 container is filled with 900 kg of granite (density 2400 kg/m3 ) and the rest
of the volume is air with density 1.15 kg/m3. Find
ME 24-221
Thermodynamics I
Solution to: Quiz 2
September 22, 2000
Instructor: J. Murthy
Given: A closed rigid tank
Initial Pressure P1 = 1 Mpa
Specific Volume v1 = 0.23268 m3/kg
Final temperature T2 = 165 oC
Solution:
From Table B.1.2, at 1Mpa, the satura
24-221
Thermodynamics
Solution to: Quiz 1
Date: Sep 15 2000
Prof. J. Murthy
Given: Piston cylinder assembly
Gas Pressure Pg = 200 kPa
Area of cross section A: 0.01m2
Mass of the piston mp = 50 kg
External Pressure P0
To Find: P0 such that it just keeps th
ME 24-221
THERMODYNAMICS I
Solutions to Quiz 8
December 8, 2000
J. Murthy
Given:
Air Standard Brayton Cycle
Cycle: 1-2-3-4
Constant Specific heats
State 1: T1 = 300 K; P1 = 100 kPa
State 3: T3 = 1500 K; P3 = 1000 kPa
To Find: Temperature at the end of ise