A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.
A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent.
Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.
(Just write the numerical answer. Include - if the answer is negative. No need to put the unit.)
Properties of saturated water
Volume
Specific
Нeat
Thermal
Prandti
Enthalpy
Density
P. kg/m
Expansion
Coefficient
B, 1/K
Liquid
Conductivity
k, W/m - K
Dynamic Viscosity
Number
Saturation
of
G, J/kg K
H. kg/m - s
Pr
Temp.
T. °C
Pressure
Vaporization
Pat, kPa
Liquid
Vapor
hig, kJ/kg
Liquid
Vapor
Liquid
Vapor
Liquid
Vapor
Liquid
Vapor
2501
2490
2478
0.561
0.571
0.580
1.792 x 10-3
1.519 x 10-3
1.307 x 10-3
1.138 x 10-3
1.002 x 10-3
0.922 x 10-5
0.934 x 10-5
0.946 x 10-5
0.959 x 10-5
0.973 x 10-5
0.6113
1854
0.0171
0.0173
999.8
0.0048
-0.068 x 10 3
4217
4205
13.5
11.2
0.01
1.00
0.0068
0.0094
0.0128
0.0173
0.015 x 10 3
0.733 x 10 3
0.138 x 10 3
0.195 x 10-3
0.8721
1.2276 999.7
999.9
1857
1.00
10
4194
1862
0.0176
9.45
1.00
1863
1867
0.589
0.598
15
1.7051
0.0179
999.1
998.0
4186
4182
8.09
7.01
2466
1.00
20
2.339
2454
0.0182
1.00
0.987 x 10-5
1.001 x 10-5
1.016 x 10-5
1.031 x 10-5
1.046 x 10 5
0.607
0.615
0.891 x 10-3
0.798 x 10-3
0.720 x 10 3
0.653 x 10-3
0.596 x 10-3
997.0
996.0
1870
1875
0.247 x 10-3
0.294 x 10-3
0.337 x 10 3
0.377 x 10-3
0.415 x 103
25
30
3.169
0.0231
2442
2431
4180
0.0186
0.0189
6.14
5.42
1.00
1.00
4.246
0.0304
4178
5.628
7.384
9.593
0.623
0.631
0.0192
0.0196
35
994.0
0.0397
0.0512
2419
2407
2395
4178
1880
4.83
1.00
40
992.1
4179
1885
1.00
4.32
3.91
45
990.1
0.0655
4180
1892
0.637
0.0200
1.00
0.547 x 10-3
0.504 x 10-3
0.467 x 10-3
0.433 x 10-3
0.404 x 10-3
1.062 x 10-5
1.077 x 10-5
1.093 x 10-5
1.110 x 10-5
1.126 x 10-5
1.00
0.451 x 10 3
0.484 x 10 3
0.517 x 10 3
0.548 x 10 3
0.578 x 10 3
50
12.35
988.1
0.0831
2383
4181
1900
0.644
0.0204
3.55
1908
1916
15.76
19.94
25.03
31.19
2371
2359
0.649
1.00
1.00
1.00
1.00
55
985.2
0.1045
4183
4185
0.0208
3.25
0.1304
0.1614
0.654
0.659
0.663
60
0.0212
983.3
980.4
2.99
4187
4190
2346
1926
1936
65
0.0216
2.75
70
977.5
0.1983
2334
0.0221
2.55
0.378 x 10-3
0.355 x 10-3
0.333 x 10-3
1.142 x 10-
1.159 x 10-5
1.176 x 10-5
1.193 x 10-5
1.210 x 10-5
0.607 x 10-3
0.653 x 10-3
0.670 x 10-3
0.702 x 10-3
0.716 x 10-3
4193
38.58
47.39
57.83
70.14
0.667
0.670
0.673
1.00
1.00
1.00
0.2421
0.2935
75
974.7
2321
2309
2296
1948
0.0225
0.0230
2.38
971.8
968.1
965.3
80
4197
1962
2.22
2.08
85
0.3536
4201
1977
0.0235
0.315 x 10-3
0.297 x 10-3
90
0.4235
2283
4206
1993
0.675
0.0240
1.96
1.00
95
84.55
961.5
0.5045
2270
4212
2010
0.677
0.0246
1.85
1.00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cdc66c8-e1a2-44a6-a42a-f8290fc48119%2F4682e8df-dd30-4a32-807b-53c247fe4241%2Fw50nsvl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent.
Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.
(Just write the numerical answer. Include - if the answer is negative. No need to put the unit.)
Properties of saturated water
Volume
Specific
Нeat
Thermal
Prandti
Enthalpy
Density
P. kg/m
Expansion
Coefficient
B, 1/K
Liquid
Conductivity
k, W/m - K
Dynamic Viscosity
Number
Saturation
of
G, J/kg K
H. kg/m - s
Pr
Temp.
T. °C
Pressure
Vaporization
Pat, kPa
Liquid
Vapor
hig, kJ/kg
Liquid
Vapor
Liquid
Vapor
Liquid
Vapor
Liquid
Vapor
2501
2490
2478
0.561
0.571
0.580
1.792 x 10-3
1.519 x 10-3
1.307 x 10-3
1.138 x 10-3
1.002 x 10-3
0.922 x 10-5
0.934 x 10-5
0.946 x 10-5
0.959 x 10-5
0.973 x 10-5
0.6113
1854
0.0171
0.0173
999.8
0.0048
-0.068 x 10 3
4217
4205
13.5
11.2
0.01
1.00
0.0068
0.0094
0.0128
0.0173
0.015 x 10 3
0.733 x 10 3
0.138 x 10 3
0.195 x 10-3
0.8721
1.2276 999.7
999.9
1857
1.00
10
4194
1862
0.0176
9.45
1.00
1863
1867
0.589
0.598
15
1.7051
0.0179
999.1
998.0
4186
4182
8.09
7.01
2466
1.00
20
2.339
2454
0.0182
1.00
0.987 x 10-5
1.001 x 10-5
1.016 x 10-5
1.031 x 10-5
1.046 x 10 5
0.607
0.615
0.891 x 10-3
0.798 x 10-3
0.720 x 10 3
0.653 x 10-3
0.596 x 10-3
997.0
996.0
1870
1875
0.247 x 10-3
0.294 x 10-3
0.337 x 10 3
0.377 x 10-3
0.415 x 103
25
30
3.169
0.0231
2442
2431
4180
0.0186
0.0189
6.14
5.42
1.00
1.00
4.246
0.0304
4178
5.628
7.384
9.593
0.623
0.631
0.0192
0.0196
35
994.0
0.0397
0.0512
2419
2407
2395
4178
1880
4.83
1.00
40
992.1
4179
1885
1.00
4.32
3.91
45
990.1
0.0655
4180
1892
0.637
0.0200
1.00
0.547 x 10-3
0.504 x 10-3
0.467 x 10-3
0.433 x 10-3
0.404 x 10-3
1.062 x 10-5
1.077 x 10-5
1.093 x 10-5
1.110 x 10-5
1.126 x 10-5
1.00
0.451 x 10 3
0.484 x 10 3
0.517 x 10 3
0.548 x 10 3
0.578 x 10 3
50
12.35
988.1
0.0831
2383
4181
1900
0.644
0.0204
3.55
1908
1916
15.76
19.94
25.03
31.19
2371
2359
0.649
1.00
1.00
1.00
1.00
55
985.2
0.1045
4183
4185
0.0208
3.25
0.1304
0.1614
0.654
0.659
0.663
60
0.0212
983.3
980.4
2.99
4187
4190
2346
1926
1936
65
0.0216
2.75
70
977.5
0.1983
2334
0.0221
2.55
0.378 x 10-3
0.355 x 10-3
0.333 x 10-3
1.142 x 10-
1.159 x 10-5
1.176 x 10-5
1.193 x 10-5
1.210 x 10-5
0.607 x 10-3
0.653 x 10-3
0.670 x 10-3
0.702 x 10-3
0.716 x 10-3
4193
38.58
47.39
57.83
70.14
0.667
0.670
0.673
1.00
1.00
1.00
0.2421
0.2935
75
974.7
2321
2309
2296
1948
0.0225
0.0230
2.38
971.8
968.1
965.3
80
4197
1962
2.22
2.08
85
0.3536
4201
1977
0.0235
0.315 x 10-3
0.297 x 10-3
90
0.4235
2283
4206
1993
0.675
0.0240
1.96
1.00
95
84.55
961.5
0.5045
2270
4212
2010
0.677
0.0246
1.85
1.00
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