The boiling temp of nitrogen at 1 atm is -196°C. If the temperature of liquid nitrogen in a tank open to the atmosphere at sea level will remain constant until it is depleted, then any heat transfer to the tank will result in the evaporation of some liquid nitrogen, which has a heat of vaporization of 198 kJ/kg and a density of 810 kg/m3 at 1 atm. Consider a 3.25-m-diameter spherical tank that is initially filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to N; vapor ambient air at 18°C, with a convection heat transfer coefficient of 35 W/m2- °C. The temperature of the thin-shelled spherical tank is observed to be almost the same as the temperature of the nitrogen inside. Determine the I atm Liquid N3 -196°C rate of evaporation of the liquid nitrogen in the tank (in kg/s) as a result of heat transfer from the ambient air if the tank is (a) not insulated, (b) insulated with 6.5-cm thick fiberglass insulation (k=0.032 W/m-°C) and (c) insulated with 4-cm thick super-insulation which has an effective thermal conductivity Insulation of 0.00004 W/m-°C.

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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.15P
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a) not insulated:
• ER =
*C/W
• Heat Transfer Rate =
kw
• Rate of Evaporation =
kg/s
b) 6.5-cm thíck fiberglass insulation:
• ER =
• Heat Transfer Rate =
kw
• Rate of evaporation =
kg/s
c) 4-cm thick super-insulation:
• ER =
*C/W
• Heat Transfer Rate =
kw
• Rate of evaporation =
x 10° kg/s (in
scientific notation; 4 decimal
places)
Transcribed Image Text:a) not insulated: • ER = *C/W • Heat Transfer Rate = kw • Rate of Evaporation = kg/s b) 6.5-cm thíck fiberglass insulation: • ER = • Heat Transfer Rate = kw • Rate of evaporation = kg/s c) 4-cm thick super-insulation: • ER = *C/W • Heat Transfer Rate = kw • Rate of evaporation = x 10° kg/s (in scientific notation; 4 decimal places)
The boiling temp of nitrogen at 1 atm is -196°C. If the temperature of liquid nitrogen in a tank open to the
atmosphere at sea level will remain constant until it is depleted, then any heat transfer to the tank will result in
the evaporation of some liquid nitrogen, which has a heat of vaporization of 198 kJ/kg and a density of 810
kg/m3 at 1 atm. Consider a 3.25-m-diameter spherical tank that is initially
filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to
N, vapor
ambient air at 18°C, with a convection heat transfer coefficient of 35 W/m2-
°C. The temperature of the thin-shelled spherical tank is observed to be
almost the same as the temperature of the nitrogen inside. Determine the
I atm
Liquid N3
-196°C
rate of evaporation of the liquid nitrogen in the tank (in kg/s) as a result of
heat transfer from the ambient air if the tank is (a) not insulated, (b) insulated
with 6.5-cm thick fiberglass insulation (k=0.032 W/m-°C) and (c) insulated
with 4-cm thick super-insulation which has an effective thermal conductivity
Insulation
of 0.00004 W/m-°C.
Transcribed Image Text:The boiling temp of nitrogen at 1 atm is -196°C. If the temperature of liquid nitrogen in a tank open to the atmosphere at sea level will remain constant until it is depleted, then any heat transfer to the tank will result in the evaporation of some liquid nitrogen, which has a heat of vaporization of 198 kJ/kg and a density of 810 kg/m3 at 1 atm. Consider a 3.25-m-diameter spherical tank that is initially filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to N, vapor ambient air at 18°C, with a convection heat transfer coefficient of 35 W/m2- °C. The temperature of the thin-shelled spherical tank is observed to be almost the same as the temperature of the nitrogen inside. Determine the I atm Liquid N3 -196°C rate of evaporation of the liquid nitrogen in the tank (in kg/s) as a result of heat transfer from the ambient air if the tank is (a) not insulated, (b) insulated with 6.5-cm thick fiberglass insulation (k=0.032 W/m-°C) and (c) insulated with 4-cm thick super-insulation which has an effective thermal conductivity Insulation of 0.00004 W/m-°C.
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