Atmospheric Pressure

2.2 Atmospheric Pressure
PHYSICS • Form 5 • Chapter 2: Pressure

2.2 Atmospheric Pressure

Atmospheric pressure is the pressure exerted by the weight of the thick layer of air surrounding the Earth acting on its surface. Every object on Earth experiences atmospheric pressure, which can be measured using instruments like the mercury barometer, Fortin barometer, and Aneroid barometer.

Learning Objectives

  • Define atmospheric pressure in terms of the weight of the air column acting on the surface of the Earth.
  • Explain the working principle and value of atmospheric pressure using a simple mercury barometer.
  • Compare and contrast the construction, operation, portability, and accuracy of the Fortin barometer and Aneroid barometer.
  • Solve problems involving conversions between various units of pressure: pascal (Pa), millimetres of mercury (mm Hg), metres of water (m H₂O), and millibar (mbar).
  • Describe the effects of atmospheric pressure changes at high altitudes on humans and required adaptations.
  • Describe the effects of extreme pressure at extreme depths under the surface of the sea and required adaptations.

Simple Mercury Barometer and Pressure Balance

Atmospheric pressure acting on the open pool of mercury supports a vertical column of mercury of height h = 760 mm against the vacuum at the top.

Mercury Barometer

Simple Mercury Barometer Vacuum Mercury bowl h = 760 mm Patm Patm

Pressure Balance

Atmospheric pressure pushes downward on the exposed mercury surface in the bowl. This pressure supports the weight of the mercury column inside the sealed tube. The space above the mercury column is a Torricellian vacuum.

At sea level under standard conditions, the mercury column height is 760 mm, so atmospheric pressure is 760 mm Hg.

Using \(P = h\rho g\), this equals approximately 101 396 Pa.

Short Explanation

What is Atmospheric Pressure?

Atmospheric pressure is the pressure due to the weight of the layer of air acting on the surface of the Earth. The Earth is surrounded by a thick layer of gases that has mass and weight, exerting downward pressure on all objects on the Earth's surface.

Everyday Application

Large rubber suckers used to lift heavy glass sheets stick firmly because atmospheric pressure acting from the outside presses them against the glass surface when air inside is expelled.

Mercury Barometer

A 1-metre-long glass tube is completely filled with mercury, covered with a lid, inverted, and immersed into a bowl of mercury. When the lid is removed, the mercury column falls until it reaches a specific height and remains stationary.

Torricelli's Experiment

Evangelista Torricelli conducted this experiment in 1643 and concluded that the mercury column is supported by atmospheric pressure.

Barometer Construction Operation Portability Accuracy
Fortin barometer Protective brass tube, glass tube containing mercury, vernier scale, millimetre scale, ivory pointer, glass cylinder, leather bag, and mercury level adjustment screw. Measures atmospheric pressure with high accuracy; takes a longer time to give a reading. Height of almost 1 metre; large and not portable. Up to ±0.1 mm Hg
Aneroid barometer Partial-vacuum corrugated metal box connected to a mechanical lever system and a pointer over a dial. Functions mechanically without any liquid; gives a direct and quick reading. Compact, small, and portable. Up to ±1 mm Hg

Units of Pressure

Pascal (Pa) is the S.I. unit of pressure, where 1 Pa = 1 N m⁻². mm Hg is a manometric unit used in medicine, meteorology, aviation, and science. m H₂O is used for water pressure in seas, reservoirs, and dams. Millibar (mbar) is used extensively in meteorology, where 1 mbar = 1 hPa = 100 Pa.

Standard Atmospheric Pressure

Standard atmospheric pressure is 760 mm Hg, which corresponds to approximately 101 396 Pa or 1 013 mbar.

Try to Answer First

Answer in your mind, then press “Check Answer”.

1

What creates atmospheric pressure on the surface of the Earth?

Check Answer
Answer: Atmospheric pressure is caused by the weight of the thick layer of air (atmosphere) acting on the surface of the Earth.
2

Calculate the pressure in Pa exerted by a mercury column of height 756 mm if the density of mercury is 13 600 kg m⁻³ and g = 9.81 m s⁻².

Check Answer
Answer: \(P = h\rho g = 0.756\ \mathrm{m} \times 13\,600\ \mathrm{kg\,m^{-3}} \times 9.81\ \mathrm{m\,s^{-2}} = 100\,862.496\ \mathrm{Pa} \approx 100\,862\ \mathrm{Pa}\) (or \(1.01 \times 10^5\ \mathrm{Pa}\)).
3

Why must deep-sea divers ascend to the surface at a slow, controlled rate?

Check Answer
Answer: To prevent nitrogen dissolved in their blood and tissues from rapidly coming out of solution and forming bubbles, which can cause dangerous decompression sickness.

Common Mistakes

  • !Forgetting to convert units to S.I. units before calculating pressure with P = hρg, for example using h in millimetres instead of converting to metres.
  • !Confusing water pressure with total (actual) pressure at a certain depth; forgetting to add the atmospheric pressure at the water surface: Pactual = hρg + Patm.
  • !Assuming the empty space at the top of an inverted mercury barometer contains air, when it is actually a vacuum with zero pressure.
  • !Assuming that tilting the barometer tube changes the vertical height of the mercury column supported by atmospheric pressure; the vertical height remains constant for a given atmospheric pressure.

Concept Misunderstandings

Misunderstanding

The mercury in a barometer stays up because the vacuum at the top “sucks” the mercury upward.

Correct Concept

A vacuum cannot exert a pull. The mercury is held up because atmospheric pressure pushes downward on the exposed surface of the mercury in the bowl, forcing it up the tube until the weight of the mercury column equals the atmospheric force.

Misunderstanding

Pressure decreases as you dive deeper underwater because water gets colder.

Correct Concept

Water pressure increases with depth solely because the weight of the water column above the diver increases with depth, \(P = h\rho g\).

Summary

  • Atmospheric pressure is the force per unit area caused by the weight of air above Earth's surface.
  • Standard atmospheric pressure equals \(760\ \mathrm{mm\,Hg}\), which corresponds to approximately \(101\,396\ \mathrm{Pa}\) or \(1\,013\ \mathrm{mbar}\).
  • It is measured precisely with a Fortin barometer and conveniently with a portable Aneroid barometer.
  • At high altitudes, low atmospheric pressure leads to oxygen deprivation and requires cabin pressurisation.
  • At extreme sea depths, colossal pressure requires rigid submarine hulls and gradual ascent procedures for divers to prevent nitrogen bubble formation.

Short Activity

Objective: Test your understanding of atmospheric pressure, barometers, pressure units, and adaptations at extreme altitudes and depths.

A. Objective Quiz

1 Which statement correctly explains why a mercury column remains at a height of approximately 760 mm inside a simple barometer at sea level?

2 What mechanical feature allows an Aneroid barometer to detect changes in atmospheric pressure?

B. Fill in the Blanks

3 The unit of pressure commonly used in meteorology that is equivalent to 1 hectopascal (1 hPa) is the .

4 If a diver ascends too rapidly from deep water, dissolved nitrogen gas will form dangerous in body tissues and blood vessels.

C. Matching / Drag and Drop

Match each pressure unit or instrument to its correct textbook description or application. If using a phone, tap the answer first, then tap the matching box.

Item / Unit
Fortin barometer
Aneroid barometer
mm Hg
m H₂O
Application / Description
High-accuracy mercury barometer measuring up to ±0.1 mm Hg used in meteorological centresCorrect ✓Try againEmpty
Portable instrument containing a partial-vacuum metal box used in ships and aeroplanesCorrect ✓Try againEmpty
Manometric unit of pressure commonly used in medical blood pressure measurementsCorrect ✓Try againEmpty
Metric unit used to express water pressure in dams and reservoirsCorrect ✓Try againEmpty
 

Keywords

Atmospheric pressure Mercury barometer Fortin barometer Aneroid barometer Pascal (Pa) Millibar (mbar) Decompression sickness

Atmospheric Pressure

2.2 Atmospheric Pressure
PHYSICS • Form 5 • Chapter 2: Pressure

2.2 Atmospheric Pressure

Atmospheric pressure is the pressure exerted by the weight of the thick layer of air surrounding the Earth acting on its surface. Every object on Earth experiences atmospheric pressure, which can be measured using instruments like the mercury barometer, Fortin barometer, and Aneroid barometer.

Learning Objectives

  • Define atmospheric pressure in terms of the weight of the air column acting on the surface of the Earth.
  • Explain the working principle and value of atmospheric pressure using a simple mercury barometer.
  • Compare and contrast the construction, operation, portability, and accuracy of the Fortin barometer and Aneroid barometer.
  • Solve problems involving conversions between various units of pressure: pascal (Pa), millimetres of mercury (mm Hg), metres of water (m H₂O), and millibar (mbar).
  • Describe the effects of atmospheric pressure changes at high altitudes on humans and required adaptations.
  • Describe the effects of extreme pressure at extreme depths under the surface of the sea and required adaptations.

Simple Mercury Barometer and Pressure Balance

Atmospheric pressure acting on the open pool of mercury supports a vertical column of mercury of height h = 760 mm against the vacuum at the top.

Mercury Barometer

Simple Mercury Barometer Vacuum Mercury bowl h = 760 mm Patm Patm

Pressure Balance

Atmospheric pressure pushes downward on the exposed mercury surface in the bowl. This pressure supports the weight of the mercury column inside the sealed tube. The space above the mercury column is a Torricellian vacuum.

At sea level under standard conditions, the mercury column height is 760 mm, so atmospheric pressure is 760 mm Hg.

Using \(P = h\rho g\), this equals approximately 101 396 Pa.

Short Explanation

What is Atmospheric Pressure?

Atmospheric pressure is the pressure due to the weight of the layer of air acting on the surface of the Earth. The Earth is surrounded by a thick layer of gases that has mass and weight, exerting downward pressure on all objects on the Earth's surface.

Everyday Application

Large rubber suckers used to lift heavy glass sheets stick firmly because atmospheric pressure acting from the outside presses them against the glass surface when air inside is expelled.

Mercury Barometer

A 1-metre-long glass tube is completely filled with mercury, covered with a lid, inverted, and immersed into a bowl of mercury. When the lid is removed, the mercury column falls until it reaches a specific height and remains stationary.

Torricelli's Experiment

Evangelista Torricelli conducted this experiment in 1643 and concluded that the mercury column is supported by atmospheric pressure.

Barometer Construction Operation Portability Accuracy
Fortin barometer Protective brass tube, glass tube containing mercury, vernier scale, millimetre scale, ivory pointer, glass cylinder, leather bag, and mercury level adjustment screw. Measures atmospheric pressure with high accuracy; takes a longer time to give a reading. Height of almost 1 metre; large and not portable. Up to ±0.1 mm Hg
Aneroid barometer Partial-vacuum corrugated metal box connected to a mechanical lever system and a pointer over a dial. Functions mechanically without any liquid; gives a direct and quick reading. Compact, small, and portable. Up to ±1 mm Hg

Units of Pressure

Pascal (Pa) is the S.I. unit of pressure, where 1 Pa = 1 N m⁻². mm Hg is a manometric unit used in medicine, meteorology, aviation, and science. m H₂O is used for water pressure in seas, reservoirs, and dams. Millibar (mbar) is used extensively in meteorology, where 1 mbar = 1 hPa = 100 Pa.

Standard Atmospheric Pressure

Standard atmospheric pressure is 760 mm Hg, which corresponds to approximately 101 396 Pa or 1 013 mbar.

Try to Answer First

Answer in your mind, then press “Check Answer”.

1

What creates atmospheric pressure on the surface of the Earth?

Check Answer
Answer: Atmospheric pressure is caused by the weight of the thick layer of air (atmosphere) acting on the surface of the Earth.
2

Calculate the pressure in Pa exerted by a mercury column of height 756 mm if the density of mercury is 13 600 kg m⁻³ and g = 9.81 m s⁻².

Check Answer
Answer: \(P = h\rho g = 0.756\ \mathrm{m} \times 13\,600\ \mathrm{kg\,m^{-3}} \times 9.81\ \mathrm{m\,s^{-2}} = 100\,862.496\ \mathrm{Pa} \approx 100\,862\ \mathrm{Pa}\) (or \(1.01 \times 10^5\ \mathrm{Pa}\)).
3

Why must deep-sea divers ascend to the surface at a slow, controlled rate?

Check Answer
Answer: To prevent nitrogen dissolved in their blood and tissues from rapidly coming out of solution and forming bubbles, which can cause dangerous decompression sickness.

Common Mistakes

  • !Forgetting to convert units to S.I. units before calculating pressure with P = hρg, for example using h in millimetres instead of converting to metres.
  • !Confusing water pressure with total (actual) pressure at a certain depth; forgetting to add the atmospheric pressure at the water surface: Pactual = hρg + Patm.
  • !Assuming the empty space at the top of an inverted mercury barometer contains air, when it is actually a vacuum with zero pressure.
  • !Assuming that tilting the barometer tube changes the vertical height of the mercury column supported by atmospheric pressure; the vertical height remains constant for a given atmospheric pressure.

Concept Misunderstandings

Misunderstanding

The mercury in a barometer stays up because the vacuum at the top “sucks” the mercury upward.

Correct Concept

A vacuum cannot exert a pull. The mercury is held up because atmospheric pressure pushes downward on the exposed surface of the mercury in the bowl, forcing it up the tube until the weight of the mercury column equals the atmospheric force.

Misunderstanding

Pressure decreases as you dive deeper underwater because water gets colder.

Correct Concept

Water pressure increases with depth solely because the weight of the water column above the diver increases with depth, \(P = h\rho g\).

Summary

  • Atmospheric pressure is the force per unit area caused by the weight of air above Earth's surface.
  • Standard atmospheric pressure equals \(760\ \mathrm{mm\,Hg}\), which corresponds to approximately \(101\,396\ \mathrm{Pa}\) or \(1\,013\ \mathrm{mbar}\).
  • It is measured precisely with a Fortin barometer and conveniently with a portable Aneroid barometer.
  • At high altitudes, low atmospheric pressure leads to oxygen deprivation and requires cabin pressurisation.
  • At extreme sea depths, colossal pressure requires rigid submarine hulls and gradual ascent procedures for divers to prevent nitrogen bubble formation.

Short Activity

Objective: Test your understanding of atmospheric pressure, barometers, pressure units, and adaptations at extreme altitudes and depths.

A. Objective Quiz

1 Which statement correctly explains why a mercury column remains at a height of approximately 760 mm inside a simple barometer at sea level?

2 What mechanical feature allows an Aneroid barometer to detect changes in atmospheric pressure?

B. Fill in the Blanks

3 The unit of pressure commonly used in meteorology that is equivalent to 1 hectopascal (1 hPa) is the .

4 If a diver ascends too rapidly from deep water, dissolved nitrogen gas will form dangerous in body tissues and blood vessels.

C. Matching / Drag and Drop

Match each pressure unit or instrument to its correct textbook description or application. If using a phone, tap the answer first, then tap the matching box.

Item / Unit
Fortin barometer
Aneroid barometer
mm Hg
m H₂O
Application / Description
High-accuracy mercury barometer measuring up to ±0.1 mm Hg used in meteorological centresCorrect ✓Try againEmpty
Portable instrument containing a partial-vacuum metal box used in ships and aeroplanesCorrect ✓Try againEmpty
Manometric unit of pressure commonly used in medical blood pressure measurementsCorrect ✓Try againEmpty
Metric unit used to express water pressure in dams and reservoirsCorrect ✓Try againEmpty
 

Keywords

Atmospheric pressure Mercury barometer Fortin barometer Aneroid barometer Pascal (Pa) Millibar (mbar) Decompression sickness