STELI Aerospace are planning to design a spherical cryogenic tank to be stored with liquid hydrogen. It is also designed with a system that if the tank reaches maximum capacity all entry and exit nozzles will automatically be closed. The specific gravity of this fluid is approximately seven hundredths the density of water. The tank is designed to have two-entry filtration system and an exit nozzle located at the bottom. The liquid hydrogen flows into the cryogenic tank at a rate of 0.85 kilograms per second and 0.45 kilograms per second. At the same time the exit nozzle is opened with a rate of 0.005 kilograms per second. (a)The shutoff valves were closed after 30 minutes, what is the volume and radius of the spherical tank? (b) Using your answers on item a, how full is the tank (in percentage) after 18.75 minutes?
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STELI Aerospace are planning to design a spherical cryogenic tank to be stored with liquid hydrogen. It
is also designed with a system that if the tank reaches maximum capacity all entry and exit nozzles will
automatically be closed. The specific gravity of this fluid is approximately seven hundredths the density
of water. The tank is designed to have two-entry filtration system and an exit nozzle located at the bottom.
The liquid hydrogen flows into the cryogenic tank at a rate of 0.85 kilograms per second and 0.45
kilograms per second. At the same time the exit nozzle is opened with a rate of 0.005 kilograms per
second. (a)The shutoff valves were closed after 30 minutes, what is the volume and radius of the spherical
tank? (b) Using your answers on item a, how full is the tank (in percentage) after 18.75 minutes?
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