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SVNAS 8e ISM Chapter 01

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SVNAS 8th Edition Annotated Solutions
power =
Chapter 1
energy
J Nm
kg m2
= =
=
time
s
s
s3
charge
time
charge = current*time = A s
current =
energy
= current*electric potential
time
energy
kg m2
electrical potential =
=
current*time
A s3
power =
electrical potential
resistance
electrical potential kg m 2
resistance =
= 2 3
current
A s
current =
Updated 16/01/2017
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SVNAS 8th Edition Annotated Solutions
Chapter 1
charge
electrical capacitance
charge
As
A2 s4
electrical capacitance =


electrical potential kg m 2 kg m 2
A s3
electrical potential =
P
Sat
/ torr
b 

 a

t / C  c 

 10
B


 7.5  P Sat / kPa=7.5exp  A 

T /K C 


b
B




exp  2.303  a 
 =7.5exp  A 

T / K - 273.15  c  
T / K  C 



b
B


2.303 a 
 =ln  7.5 +A 
T / K - 273.15  c 
T /K C

Updated 16/01/2017
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SVNAS 8th Edition Annotated Solutions
Chapter 1
The point of this problem is just for you to practice evaluating and plotting a simple function.
You will do a number of problems over the course of the semester (and many more over the
course of your career) in which the results are best presented in graphical form. The only thing to
be careful of in plotting the Antoine equation is to pay attention to the units of T and Psat and to
whether the constants are given for use with the base 10 logarithm or the natural logarithm. The
parameters in Table B.2 are for use with T in °C, P in kPa, and the natural logarithm.
I used MS Excel to prepare the plots for diethyl ether. A portion of the spreadsheet (containing
the plots) is shown below:
13.9891 B
Psat (kPa)
3.450361508
3.684455127
3.931786307
4.192943086
4.468531566
4.759176154
5.065519787
5.388224158
5.727969934
6.085456959
6.461404464
6.856551255
7.271655907
7.707496937
8.16487298
8.644602953
9.147526209
9.674502686
10.22641305
10.80415881
11.40866246
12.0408676
12.70173902
13.39226279
14.11344639
14.86631874
15.65193033
16.4713532
17.3256811
18.21602942
19.14353533
20.10935774
2463.93 C
223.24
Vapor pressure of Diethyl Ether
Vapor pressure of Diethyl Ether
200
180
100
160
Updated 16/01/2017
Vapor Pressure (kPa)
T (deg C)
-30
-29
-28
-27
-26
-25
-24
-23
-22
-21
-20
-19
-18
-17
-16
-15
-14
-13
-12
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
Vapor Pressure (kPa)
A
140
120
100
80
60
10
40
20
0
1
-30
-20
-10
0
10
20
30
Temperature (°C)
40
50
60
-30
-10
10
30
50
Temperature (°C)
p. 3 of 19
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SVNAS 8th Edition Annotated Solutions
Chapter 1
SVNAS, problem 1.4
300
T (deg C or deg F)
200
100
0
deg C
-100
-200
deg F
-300
-400
-500
0
50
100
150
200
250
300
350
T (K)
Updated 16/01/2017
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SVNAS 8th Edition Annotated Solutions


Chapter 1




Updated 16/01/2017



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SVNAS 8th Edition Annotated Solutions
Chapter 1



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SVNAS 8th Edition Annotated Solutions
Updated 16/01/2017
Chapter 1
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SVNAS 8th Edition Annotated Solutions
Chapter 1
dP
MP

g
dz
RT
dP
Mg

dz
P
RT
P
Mg
ln    
 z  zo 
RT
 Po 
 Mg
P  Po exp  
 z  zo  
 RT

 0.029*9.8
P  101325exp  
1609    83430 Pa
 8.314*283

Updated 16/01/2017
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SVNAS 8th Edition Annotated Solutions
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Chapter 1
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Chapter 1
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SVNAS 8th Edition Annotated Solutions
Chapter 1




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prior written consent of McGraw-Hill Education.
SVNAS 8th Edition Annotated Solutions
Chapter 1








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SVNAS 8th Edition Annotated Solutions
Chapter 1

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
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SVNAS 8th Edition Annotated Solutions
Chapter 1

m   q  1.25 kg m3 *55880 m3 s1 = 69850 kg s1

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SVNAS 8th Edition Annotated Solutions
Chapter 1
A
12.74
B
2017.87
C
-80.87
T (°C)
-18.5
-9.5
0.2
11.8
23.1
32.7
44.4
52.1
63.3
75.5
T(K)
254.65
263.65
273.35
284.95
296.25
305.85
317.55
325.25
336.45
348.65
Psat (kPa)
ln (Psat)
ln (Psat)fit
Error2
Psatfit (kPa)
3.18
5.48
9.45
16.9
28.2
41.9
66.6
89.5
129
187
1.157
1.701
2.246
2.827
3.339
3.735
4.199
4.494
4.860
5.231
1.125
1.697
2.253
2.849
3.368
3.767
4.211
4.479
4.841
5.201
1.02E-03
2.03E-05
4.77E-05
4.61E-04
7.96E-04
1.02E-03
1.43E-04
2.24E-04
3.50E-04
9.19E-04
3.08
5.46
9.52
17.27
29.01
43.26
67.40
88.17
126.61
181.42
Error Sum
5.01E-03
6.000
200
180
5.000
160
4.000
Pressure(kPa)
ln(Pressure(kPa))
Relative Error
-3.2%
-0.4%
0.7%
2.2%
2.9%
3.3%
1.2%
-1.5%
-1.9%
-3.0%
3.000
2.000
140
120
100
80
60
40
1.000
20
0.000
0
200
250
300
Temperature (K)
ln P sat / kPa  A 
Updated 16/01/2017
350
400
-50
0
50
Temperature (°C)
100
B
T / KC
p. 18 of 19
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prior written consent of McGraw-Hill Education.
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