Professor Modyn owns a 23.0ft tall cylindrical tank, which is closed at a the to

Question

Professor Modyn owns a 23.0ft tall cylindrical tank, which is closed at a the top and bottom. The vapor space at the top of the tank is filled with pure nitrogen at a gauge pressure of 30.0 psig. The tank contains a light crude oil with SG=0.820 to a depth of 19.0ft. If the atmosphere pressure is 1.02 atm, calculate the absolute pressure (psi) at the bottom of the tank. Professor Modyn owns a 23.0ft tall cylindrical tank, which is closed at a the top and bottom. The vapor space at the top of the tank is filled with pure nitrogen at a gauge pressure of 30.0 psig. The tank contains a light crude oil with SG=0.820 to a depth of 19.0ft. If the atmosphere pressure is 1.02 atm, calculate the absolute pressure (psi) at the bottom of the tank.

Explanation / Answer

Gauge pressure due to nitrogen gas = 30.0 psig

Atmospheric pressure = 1.02 atm = 1.02*14.7 psi = 15.0 psi

total pressure = 15.0 + 30.0 = 45.0 psi

Height of oil = 19.0 ft = 19.0*0.305 = 5.80 m

Specific gravity = 0.820

Density of oil = 0.820*1.204 = 0.987 kg/m3

pressure exerted = density*acceleration due to gravity*height

= 0.987*9.80*5.80 = 56.1 Pa = 0.0081 psi

Absolute pressure = 45.0+0.0081 = 45.0081 psi

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