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IB MYP 4-5 Physics- Atmospheric pressure – Study Notes

IB MYP 4-5 Physics- Atmospheric pressure - Study Notes - New Syllabus

IB MYP 4-5 Physics-Atmospheric pressure – Study Notes

Key Concepts

  • Atmospheric pressure 

IB MYP 4-5 Physics Study Notes – All topics

Atmospheric Pressure

Atmospheric Pressure

Atmospheric pressure is the force per unit area exerted by the weight of the air above a given point, caused by the Earth’s gravitational pull on the air molecules.

  • The Earth’s atmosphere is composed of gases that have mass and therefore exert weight.
  • Air exerts pressure in all directions—upward, downward, and sideways—because gas molecules move randomly and collide with surfaces.
  • At sea level, the standard atmospheric pressure is approximately \( 1.013 \times 10^5 \, \text{Pa} \) (101.3 kPa), which is also equivalent to \( 760 \, \text{mmHg} \) or \( 1 \, \text{atm} \).
  • Atmospheric pressure decreases with altitude because there is less air above a given point, meaning less weight pressing down.
  • Pressure is measured using devices such as barometers and manometers.

Mathematical Relation:

\( P = \rho g h \)

Where: \( P \) = pressure due to air column (Pa) \( \rho \) = density of air (kg/m³) \( g \) = gravitational field strength (m/s²) \( h \) = height of air column (m)

Measurement:

Mercury Barometer:

Uses a column of mercury; atmospheric pressure is indicated by the height of the mercury column.

Aneroid Barometer:

Uses a sealed metal chamber that expands/contracts with changes in pressure; movement is transferred to a dial.

Effects of Atmospheric Pressure:

  • Boiling point of liquids changes with altitude—lower pressure means lower boiling point.
  • Breathing at high altitudes becomes harder due to reduced oxygen partial pressure.
  • It can crush objects if internal pressure is less than external atmospheric pressure (e.g., a sealed can cooled after heating).

Applications:

  • Weather prediction using barometric pressure trends.
  • Vacuum packaging and sealing.
  • Aircraft cabin pressurization for passenger comfort at high altitudes.

Example:

The atmospheric pressure at a certain altitude is \( 8.5 \times 10^4 \, \text{Pa} \). If the density of air is \( 1.1 \, \text{kg/m}^3 \) and \( g = 9.8 \, \text{m/s}^2 \), estimate the height of the air column above that point.

▶️ Answer/Explanation

We use \( P = \rho g h \).

\( h = \dfrac{P}{\rho g} = \dfrac{8.5 \times 10^4}{1.1 \times 9.8} \)

\( h \approx 7870 \, \text{m} \)

\(\boxed{h \approx 7.87 \, \text{km}}\)

Example:

A barometer reading changes from \( 760 \, \text{mmHg} \) to \( 740 \, \text{mmHg} \). What is the drop in atmospheric pressure in Pascals? (Density of mercury \( = 13600 \, \text{kg/m}^3 \), \( g = 9.8 \, \text{m/s}^2 \)).

▶️ Answer/Explanation

Change in height: \( \Delta h = 20 \, \text{mm} = 0.020 \, \text{m} \)

Pressure change: \( \Delta P = \rho g \Delta h \)

\( \Delta P = 13600 \times 9.8 \times 0.020 \)

\( \Delta P \approx 2665.6 \, \text{Pa} \)

\(\boxed{\Delta P \approx 2.67 \, \text{kPa}}\)

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