Question

In: Physics

A barrel contains a 0.259m layer of oil of density 659kg/m3 floating on water that is...

A barrel contains a 0.259m layer of oil of density 659kg/m3 floating on water that is 0.331m deep.

a) What is the gauge pressure at the oil-water interface?

b) What is the gauge pressure at the bottom of the barrel?

c) At what depth below the oil surface is the gauge pressure 2630.6738Pa ?

Solutions

Expert Solution

given that ::

density of oil, = 659kg/m3

density of water, = 1000 kg/m3

depth of water = 0.331 m

thickness of oil layer = 0.259 m

(a) gauge pressure at the oil-water interface is given as ::

Pressure caused by oil = density x depth x g

where, g = accleration due to gravity = 9.8 m/s2

Pressure caused by oil = (659 kg/m3 ) x 0.259 m x 9.8m/s2 = 1672.6 Pa

(b) gauge pressure at the bottom of the barrel is given as ::

Pressure at bottom = Pressure at oil-water interface + pressure caused by water

pressure caused by water = density x depth x g = (1000 kg/m3 ) x 0.331 m x 9.8m/s2 = 3243.8 Pa

Pressure at bottom = 1672.6 Pa + 3243.8 Pa = 4916.4 Pa

(c) depth below the oil surface is given as ::

gauge pressure, p = 2630.6738 Pa

relative density of oil, = 0.8

density of oil, = water = 0.8 x 1000 kg/m3 = 800 kg/m3

p = density () x depth (h) x g

where, = 800 kg/m3 , g = 9.8 m/s2

inserting values in above eq.

h = 2630.6738 Pa / (800 kg/m3 ) (9.8m/s2 )

h = 0.335 m

genius_generous answered 1 hour ago
Next > < Previous

Related Solutions

3. An oil well contains water at the bottom, oil floating on it, and air above...
3. An oil well contains water at the bottom, oil floating on it, and air above the oil. You performed two time-of-arrival measurements with an instrument that measures the depth of the well using a light beam. The first reading on the instrument is t1= 1.33us and the second one is t2= 1.29 us taken after a certain amount of oil was pumped out. Calculate the change in the oil level considering the oil refractive index 1.46.
A 1-mm diameter sphere (density=7900 kg/m3) is dropped into a tank of oil (density=900 kg/m3). The...
A 1-mm diameter sphere (density=7900 kg/m3) is dropped into a tank of oil (density=900 kg/m3). The sphere develops a terminal speed of 0.25 cm/s, what is the oil's viscosity? You may assume a small Reynolds number. Show your work.
1. A large open tank contains fresh water of constant density (p = 1000 kg/m3). a)...
1. A large open tank contains fresh water of constant density (p = 1000 kg/m3). a) Construct an algebraic expression for the absolute pressure (P) at a specific depth below the surface of the water (y) in terms of gravitational acceleration (g), the depth of water (y), and the density of water (ρ).
Oil has a density ? of 860kg/m3. An oil droplet is suspended between two plates 1.0cm...
Oil has a density ? of 860kg/m3. An oil droplet is suspended between two plates 1.0cm apart by adjusting the potential difference between them to 1177V. When the voltage is removed, the droplet falls and quickly reaches constant speed. It is timed with a stopwatch and falls 3.00mm in 7.33s. The viscosity of air is 1.83
Q4. (a) Oil with density 870 kg/m3 is conveyed through a pipe at a discharge of...
Q4. (a) Oil with density 870 kg/m3 is conveyed through a pipe at a discharge of 0.11 m3 /s. At a certain location the pipe bends downwards in the vertical plane through an angle of 30 degrees. The pipe has diameter 311 mm at the bend inlet and 211 mm at the bend outlet, and the outlet is 2.5 m below the inlet. The volume of oil contained in the bend is 0.25 m3 . Draw a clearly-labelled definition sketch...
The spot price of oil is $50 per barrel and the cost of storing a barrel...
The spot price of oil is $50 per barrel and the cost of storing a barrel of oil for one year is $3, payable at the end of one year. The risk-free interest rate is 5% per annum with annual compounding. According to the one-year forward price on oil in the market, the convenience benefit of carrying a barrel of oil for one year is estimated to be $2 in terms of the value at the end of one year....
The hydraulic oil in a car lift has a density of 8.10 x 102 kg/m3. The...
The hydraulic oil in a car lift has a density of 8.10 x 102 kg/m3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 5.49 x 10-3 m and 0.127 m, respectively. What input force F is needed to support the 26800-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface...
The hydraulic oil in a car lift has a density of 8.30 x 102 kg/m3. The...
The hydraulic oil in a car lift has a density of 8.30 x 102 kg/m3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 7.30 x 10-3 m and 0.136 m, respectively. What input force F is needed to support the 23800-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface...
At an equilibrium price of $50 for a barrel of oil,                  ...
At an equilibrium price of $50 for a barrel of oil,                            [ Select ]                       ["consumer surplus", "surplus", "shortage", "producer surplus"]         exists when buyers were willing to pay prices above $50 and                            [ Select ]                       ["producer surplus", "consumer surplus", "shortage", "surplus"]         exists when sellers were willing to...
At an equilibrium price of $50 for a barrel of oil,                  ...
At an equilibrium price of $50 for a barrel of oil,                            [ Select ]                       ["consumer surplus", "surplus", "shortage", "producer surplus"]         exists when buyers were willing to pay prices above $50 and                            [ Select ]                       ["producer surplus", "consumer surplus", "shortage", "surplus"]         exists when sellers were willing to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT