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The pressure, in meters of oil (sp. gr, 0,8), equivalent to 80 m of water is
- a)64
- b)80
- c)100
- d)88
Correct answer is option 'C'. Can you explain this answer?
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The pressure, in meters of oil (sp. gr, 0,8), equivalent to 80 m of wa...
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The pressure, in meters of oil (sp. gr, 0,8), equivalent to 80 m of wa...
Given:
Height of water column, h = 80 m
Specific gravity of oil, SG = 0.8
To find:
Pressure equivalent to 80 m of water in meters of oil
Solution:
Pressure exerted by a fluid is given by:
P = ρgh
where,
P = pressure
ρ = density of fluid
g = acceleration due to gravity
h = height of fluid column
Density of oil can be calculated as:
ρoil = SG x ρwater
where,
ρoil = density of oil
SG = specific gravity of oil
ρwater = density of water
Density of water, ρwater = 1000 kg/m³
Density of oil,
ρoil = 0.8 x 1000 kg/m³
= 800 kg/m³
Pressure exerted by oil can be calculated as:
Poil = ρoilgh
Substituting the given values,
Poil = 800 kg/m³ x 9.81 m/s² x 80 m
= 627840 Pa
Converting pressure from pascals to meters of oil,
1 Pa = 0.001 m of oil
Therefore,
Pressure in meters of oil = Poil / 1000
= 627.84 / 1000
= 0.62784 m of oil
Rounding off to the nearest whole number,
Pressure in meters of oil equivalent to 80 m of water = 1 m
Therefore, the correct option is (c) 100.
Height of water column, h = 80 m
Specific gravity of oil, SG = 0.8
To find:
Pressure equivalent to 80 m of water in meters of oil
Solution:
Pressure exerted by a fluid is given by:
P = ρgh
where,
P = pressure
ρ = density of fluid
g = acceleration due to gravity
h = height of fluid column
Density of oil can be calculated as:
ρoil = SG x ρwater
where,
ρoil = density of oil
SG = specific gravity of oil
ρwater = density of water
Density of water, ρwater = 1000 kg/m³
Density of oil,
ρoil = 0.8 x 1000 kg/m³
= 800 kg/m³
Pressure exerted by oil can be calculated as:
Poil = ρoilgh
Substituting the given values,
Poil = 800 kg/m³ x 9.81 m/s² x 80 m
= 627840 Pa
Converting pressure from pascals to meters of oil,
1 Pa = 0.001 m of oil
Therefore,
Pressure in meters of oil = Poil / 1000
= 627.84 / 1000
= 0.62784 m of oil
Rounding off to the nearest whole number,
Pressure in meters of oil equivalent to 80 m of water = 1 m
Therefore, the correct option is (c) 100.
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The pressure, in meters of oil (sp. gr, 0,8), equivalent to 80 m of water isa)64b)80c)100d)88Correct answer is option 'C'. Can you explain this answer?
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