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.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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
Heat
Jkg - K
Thermal
Conductivity
k, Wim- K
Prandti
Enthalpy
Dynamic Viscosity
H. kg/m -s
Expansion
Coefficient
Number
Density
P. kgim
Saturation
of
Pr
Temp.
T, "C
B. 1/K
Liquid
Pressure
Vaporization
P, kPa
Liquid
Vapor
hg, k/kg
Liquid
Vapor
Liquid
Vapor
Liquid
Vapor
Liquid Vapor
0.0171 1.792 x 103
0.0173
0.922 x 105 13.5
0.934 x 10-5
1.00 -0.068 x 10 3
1.00
1.00
0.01
0.6113 999.8
0.8721
0.0048
0.0068
2501
2490
2478
4217
4205
1854
0.561
0.571
1.519 x 10-3
1.307 x 10-3 0.946 x 10-5
1.138 x 10 3 0.959 x 10-5
1.002 x 10 3 0.973 x 105
999.9
1857
11.2
0.015 x 10 3
0.733 x 10 3
0.138 x 10 3
0.195 x 10 3
10
1.2276 999.7
0.0094
4194
1862
0.580 0.0176
9.45
1.7051
2.339
0.0128
0.0173
0.0179
0.0182
8.09
7.01
15
999.1
998.0
2466
4186
1863
1867
0.589
1.00
1.00
20
2454
4182
0.598
997.0
996.0
2442
2431
2419
0.891 x 10-3 0.987 x 10-5
1.001 x 10-5
0.247 x 10 3
0.294 x 10 3
0.337 x 103
0.377 x 103
0.415 x 10 3
25
30
3.169
4.246
4180
4178
1870
1875
1.00
1.00
0.0231
0.607
0.615
0.0186
0.0189 0.798 x 10-3
0.0192 0.720 x 10-3
6.14
0.0304
5.42
5.628
7.384
1880
1885
1892
1.016 x 10-5
1.031 x 10 5
1.046 x 105
35
994.0
0.0397
4178
0.623
4.83
1.00
0.653 x 10-3
0.0196
0.0200 0.596 x 10-3
40
992.1
0.0512
2407
4179
0.631
4.32
1.00
45
9.593
990.1
0.0655
2395
4180
0.637
3.91
1.00
12.35
15.76
19.94
25.03
31.19
0.547 x 10-3
0.0208 0.504 x 10-3
0.0212 0.467 x 10-3
0.0216 0.433 x 10 3
0.404 x 10 3
50
988.1
0.0831
2383
4181
1900
0.644
0.0204
1.062 x 10 5
3.55
1.00
0.451 x 10-3
985.2
983.3
980.4
977.5
0.1045
0.1304
0.1614
0.1983
1.077 x 10 5
1.093 x 10-5
1.110 x 10 5
1.126 x 10-5
55
60
2371
2359
2346
2334
4183
1908
1916
1926
1936 0.663 0.0221
0.649
0.654
0.659
3.25
2.99
2.75
2.55
1.00
1.00
1.00
1.00
0.484 x 10
0.517 x 10 3
0.548 x 10 3
0.578 x 10 3
4185
65
4187
70
4190
0.378 x 10 3
0.355 x 10 3
0.0235 0.333 x 10-3 1.176 x 10-5
38.58
0.2421
0.0225
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
75
974.7
2321
4193
1948
0.667
1.142 x 10-5
2.38
1.00
80
47.39
971.8
0.2935
2309
2296
2283
4197
4201
1962 0.670
0.673
0.675
0.0230
1.159 x 10 5
2.22
2.08
1.00
1.00
1.00
85
57.83
968.1
0.3536
1977
90
70.14
965.3
0.4235
4206
1993
0.0240
0.315 x 10-3
1.193 x 10-5
1.96
95
84.55
961.5
0.5045
2270
4212
2010 0.677
0.0246
0.297 x 103
1.210 x 10 5
1.85
1.00
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 Heat Jkg - K Thermal Conductivity k, Wim- K Prandti Enthalpy Dynamic Viscosity H. kg/m -s Expansion Coefficient Number Density P. kgim Saturation of Pr Temp. T, "C B. 1/K Liquid Pressure Vaporization P, kPa Liquid Vapor hg, k/kg Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor 0.0171 1.792 x 103 0.0173 0.922 x 105 13.5 0.934 x 10-5 1.00 -0.068 x 10 3 1.00 1.00 0.01 0.6113 999.8 0.8721 0.0048 0.0068 2501 2490 2478 4217 4205 1854 0.561 0.571 1.519 x 10-3 1.307 x 10-3 0.946 x 10-5 1.138 x 10 3 0.959 x 10-5 1.002 x 10 3 0.973 x 105 999.9 1857 11.2 0.015 x 10 3 0.733 x 10 3 0.138 x 10 3 0.195 x 10 3 10 1.2276 999.7 0.0094 4194 1862 0.580 0.0176 9.45 1.7051 2.339 0.0128 0.0173 0.0179 0.0182 8.09 7.01 15 999.1 998.0 2466 4186 1863 1867 0.589 1.00 1.00 20 2454 4182 0.598 997.0 996.0 2442 2431 2419 0.891 x 10-3 0.987 x 10-5 1.001 x 10-5 0.247 x 10 3 0.294 x 10 3 0.337 x 103 0.377 x 103 0.415 x 10 3 25 30 3.169 4.246 4180 4178 1870 1875 1.00 1.00 0.0231 0.607 0.615 0.0186 0.0189 0.798 x 10-3 0.0192 0.720 x 10-3 6.14 0.0304 5.42 5.628 7.384 1880 1885 1892 1.016 x 10-5 1.031 x 10 5 1.046 x 105 35 994.0 0.0397 4178 0.623 4.83 1.00 0.653 x 10-3 0.0196 0.0200 0.596 x 10-3 40 992.1 0.0512 2407 4179 0.631 4.32 1.00 45 9.593 990.1 0.0655 2395 4180 0.637 3.91 1.00 12.35 15.76 19.94 25.03 31.19 0.547 x 10-3 0.0208 0.504 x 10-3 0.0212 0.467 x 10-3 0.0216 0.433 x 10 3 0.404 x 10 3 50 988.1 0.0831 2383 4181 1900 0.644 0.0204 1.062 x 10 5 3.55 1.00 0.451 x 10-3 985.2 983.3 980.4 977.5 0.1045 0.1304 0.1614 0.1983 1.077 x 10 5 1.093 x 10-5 1.110 x 10 5 1.126 x 10-5 55 60 2371 2359 2346 2334 4183 1908 1916 1926 1936 0.663 0.0221 0.649 0.654 0.659 3.25 2.99 2.75 2.55 1.00 1.00 1.00 1.00 0.484 x 10 0.517 x 10 3 0.548 x 10 3 0.578 x 10 3 4185 65 4187 70 4190 0.378 x 10 3 0.355 x 10 3 0.0235 0.333 x 10-3 1.176 x 10-5 38.58 0.2421 0.0225 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 75 974.7 2321 4193 1948 0.667 1.142 x 10-5 2.38 1.00 80 47.39 971.8 0.2935 2309 2296 2283 4197 4201 1962 0.670 0.673 0.675 0.0230 1.159 x 10 5 2.22 2.08 1.00 1.00 1.00 85 57.83 968.1 0.3536 1977 90 70.14 965.3 0.4235 4206 1993 0.0240 0.315 x 10-3 1.193 x 10-5 1.96 95 84.55 961.5 0.5045 2270 4212 2010 0.677 0.0246 0.297 x 103 1.210 x 10 5 1.85 1.00
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