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An open tank contains water upto a depth of 350 cm and above it an oil of specific gravity 0.65 for a depth of 2.5 m. Find the pressure intensity at the extreme bottom of the tank.
Correct answer is '5.026 - 5.030'. Can you explain this answer?
Verified Answer
An open tank contains water upto a depth of 350 cm and above it an oil...
p = (specific gravity of water* height of water + specific gravity of oil* height of oil) * 9.81 
= 5.027 N/cm2.
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Most Upvoted Answer
An open tank contains water upto a depth of 350 cm and above it an oil...
Given data:
- Depth of water (h1) = 350 cm = 3.5 m
- Depth of oil (h2) = 2.5 m
- Specific gravity of oil (γo) = 0.65

Assumptions:
- The density of water (γw) is 1000 kg/m³.
- The density of oil (γo) is 0.65 * 1000 = 650 kg/m³.

Pressure at the bottom of the tank:
To find the pressure intensity at the extreme bottom of the tank, we need to consider the pressure exerted by both the water and the oil.

Pressure due to water:
The pressure exerted by a fluid at a certain depth is given by the formula:
P = γ * h
where P is the pressure, γ is the specific weight of the fluid, and h is the depth.

The pressure due to water can be calculated as:
P1 = γw * h1
= 1000 * 3.5
= 3500 N/m²

Pressure due to oil:
The specific weight of the oil can be calculated using the formula:
γo = γw * specific gravity of oil
650 = 1000 * specific gravity of oil
specific gravity of oil = 0.65

The pressure due to oil can be calculated as:
P2 = γo * h2
= 650 * 2.5
= 1625 N/m²

Total pressure at the bottom:
The total pressure at the bottom of the tank is the sum of the pressures due to water and oil.

Ptotal = P1 + P2
= 3500 + 1625
≈ 5125 N/m²

Therefore, the pressure intensity at the extreme bottom of the tank is approximately 5125 N/m². Rounded to three decimal places, the answer is 5.125 N/cm², which is within the range of the correct answer given (5.026 - 5.030).
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An open tank contains water upto a depth of 350 cm and above it an oil of specific gravity 0.65 for a depth of 2.5 m. Find the pressure intensity at the extreme bottom of the tank.Correct answer is '5.026 - 5.030'. Can you explain this answer?
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