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 3.5-m-diameter spherical tank that is initially N; vapor filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to ambient air at 16°C, with a convection heat transfer coefficient of 32 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 rate of evaporation of the liquid nitrogen in the tank (in kg/s) as a result of I atm Liquid N3 -196°C" heat transfer from the ambient air if the tank is (a) not insulated, (b) insulated with 6-cm thick fiberglass insulation (k=0.035 W/m-°C) and (c) insulated with 2-cm thick super-insulation which has an effective thermal conductivity of 0.00045 W/m-°C. Insulation

Elements Of Electromagnetics
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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 3.5-m-diameter spherical tank that is initially
filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to
ambient air at 16°C, with a convection heat transfer coefficient of 32 W/m2-
°C. The temperature of the thin-shelled spherical tank is observed to be
N2 vapor
almost the same as the temperature of the nitrogen inside. Determine the
rate of evaporation of the liquid nitrogen in the tank (in kg/s) as a result of
I atm
Liquid N3
-196°C
heat transfer from the ambient air if the tank is (a) not insulated, (b) insulated
with 6-cm thick fiberglass insulation (k=0.035 W/m-°C) and (c) insulated with
2-cm thick super-insulation which has an effective thermal conductivity of
Insulation
0.00045 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 3.5-m-diameter spherical tank that is initially filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to ambient air at 16°C, with a convection heat transfer coefficient of 32 W/m2- °C. The temperature of the thin-shelled spherical tank is observed to be N2 vapor almost the same as the temperature of the nitrogen inside. Determine the rate of evaporation of the liquid nitrogen in the tank (in kg/s) as a result of I atm Liquid N3 -196°C heat transfer from the ambient air if the tank is (a) not insulated, (b) insulated with 6-cm thick fiberglass insulation (k=0.035 W/m-°C) and (c) insulated with 2-cm thick super-insulation which has an effective thermal conductivity of Insulation 0.00045 W/m-°C.
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