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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.)

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.)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.28P
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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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