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A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.
Correct answer is '678.40'. Can you explain this answer?
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A lake has a maximum depth of 60 m. If the mean atmospheric pressure ...
Mean atmosphere = 91 kPa
Unit weight of water = 9790 N/m3
Absolute pressure at maximum depth = Po + pg h
= 91 kPa + (9790) × 60/1000
= 91 + 587.4
= 678.4 kPa
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A lake has a maximum depth of 60 m. If the mean atmospheric pressure ...
Calculation of Absolute Pressure at Maximum Depth
To determine the absolute pressure at the maximum depth of the lake, we need to consider both the atmospheric pressure and the hydrostatic pressure due to the water column above that depth.
1. Understanding Key Concepts
- Atmospheric Pressure (Patm): The pressure exerted by the weight of the atmosphere. In this case, it is given as 91 kPa.
- Hydrostatic Pressure (Ph): The pressure exerted by a fluid at rest due to the weight of the fluid above. It can be calculated using the formula:
Ph = ρgh
where:
- ρ = unit weight of water (9790 N/m³)
- g = depth (60 m)
2. Calculation of Hydrostatic Pressure
- Hydrostatic Pressure Calculation:
- Ph = 9790 N/m³ * 60 m = 587400 N/m² = 587.4 kPa
3. Total Absolute Pressure Calculation
- Absolute Pressure (Pabs) is the sum of atmospheric pressure and hydrostatic pressure:
Pabs = Patm + Ph
Pabs = 91 kPa + 587.4 kPa = 678.4 kPa
4. Final Result
Thus, the absolute pressure at the maximum depth of the lake is calculated to be 678.40 kPa.
This pressure accounts for both the atmospheric pressure above the lake and the weight of the water column exerted at that depth, providing an accurate measure of the environmental conditions in the lake at its deepest point.
To determine the absolute pressure at the maximum depth of the lake, we need to consider both the atmospheric pressure and the hydrostatic pressure due to the water column above that depth.
1. Understanding Key Concepts
- Atmospheric Pressure (Patm): The pressure exerted by the weight of the atmosphere. In this case, it is given as 91 kPa.
- Hydrostatic Pressure (Ph): The pressure exerted by a fluid at rest due to the weight of the fluid above. It can be calculated using the formula:
Ph = ρgh
where:
- ρ = unit weight of water (9790 N/m³)
- g = depth (60 m)
2. Calculation of Hydrostatic Pressure
- Hydrostatic Pressure Calculation:
- Ph = 9790 N/m³ * 60 m = 587400 N/m² = 587.4 kPa
3. Total Absolute Pressure Calculation
- Absolute Pressure (Pabs) is the sum of atmospheric pressure and hydrostatic pressure:
Pabs = Patm + Ph
Pabs = 91 kPa + 587.4 kPa = 678.4 kPa
4. Final Result
Thus, the absolute pressure at the maximum depth of the lake is calculated to be 678.40 kPa.
This pressure accounts for both the atmospheric pressure above the lake and the weight of the water column exerted at that depth, providing an accurate measure of the environmental conditions in the lake at its deepest point.
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A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer?
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A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer?.
A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer?.
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A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer?, a detailed solution for A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer? has been provided alongside types of A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.Correct answer is '678.40'. Can you explain this answer? theory, EduRev gives you an
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