determine the rate of evaporation of the liquid oxygen in the tank as a result of the heat transfer from the ambient air
The boiling temperature of oxygen at atmospheric pressure at sea level (1 atm) is -183ºC.
Therefore, oxygen is used in low temperature scientific studies since the temperature of
liquid oxygen in a tank open to the atmosphere remains constant at -183ºC until the liquid
oxygen in the tank is depleted. Any heat transfer to the tank results in the evaporation of
some liquid oxygen, which has a heat of vaporization of 213 kJ/kg and a density of 1140
kg/m3
at 1 atm. Consider a 4 m diameter spherical tank initially filled with liquid oxygen at
1 atm and -183ºC. The tank is exosed to 20ºC ambient ait with a heat transfer coefficient of
25 W/m2
. ºC. The temperature of the thin-shelled spherical tank is observed to be almost
the same as the temperature of the oxygen inside. Disregarding any radiation heat
exchange, determine the rate of evaporation of the liquid oxygen in the tank as a result of
the heat transfer from the ambient air
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