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IB MYP 4-5 Physics- Thermometers and temperature measurement- Study Notes

IB MYP 4-5 Physics- Thermometers and temperature measurement- Study Notes - New Syllabus

IB MYP 4-5 Physics-Thermometers and temperature measurement- Study Notes

Key Concepts

  • Thermometers and temperature measurement

IB MYP 4-5 Physics Study Notes – All topics

Thermometers and Temperature Measurement

Thermometers and Temperature Measurement

Temperature:

Temperature is a measure of the average kinetic energy of particles in a substance. It indicates how hot or cold an object is.

Principle of Temperature Measurement:

  • Thermometers work based on a physical property that changes predictably with temperature (called a thermometric property).
  • Examples of thermometric properties:
    • Length or volume of a liquid (liquid-in-glass thermometers).
    • Electrical resistance (resistance thermometers).
    • Pressure of a fixed volume of gas (gas thermometers).

Common Types of Thermometers:

  • Liquid-in-glass thermometers: Use mercury or alcohol; liquid expands/contracts with temperature.
  • Bimetallic strip thermometers: Made of two metals with different expansion rates; bending indicates temperature change.
  • Gas thermometers: Measure pressure change in a fixed volume of gas.
  • Thermocouples: Use voltage difference between two metals; good for high-temperature ranges.
  • Infrared thermometers: Measure emitted infrared radiation; useful for non-contact measurement.

Temperature Scales:

  • Celsius scale (°C): Based on freezing point (0°C) and boiling point (100°C) of water at 1 atm pressure.
  • Kelvin scale (K): Absolute temperature scale; 0 K is absolute zero, no negative values.
  • Fahrenheit scale (°F): Used in some countries; water freezes at 32°F and boils at 212°F.

Converting between Temperature Scales:

T(K) = T(°C) + 273.15

T(°F) = \dfrac{9}{5} \times T(°C) + 32

T(°C) = \dfrac{5}{9} \times (T(°F) – 32)

Calibration of Thermometers:

  • Calibration ensures readings are accurate.
  • Uses fixed points:
    • Lower fixed point: Temperature of pure melting ice at standard atmospheric pressure (0°C).
    • Upper fixed point: Temperature of pure boiling water at standard atmospheric pressure (100°C).
  • The distance between these two points is divided into equal parts to mark degrees.

Advantages and Disadvantages of Common Thermometers:

TypeAdvantagesDisadvantages
Mercury-in-glassHigh accuracy, wide rangeToxic, cannot measure very low temperatures
Alcohol-in-glassSafe, measures low temperaturesEvaporates easily, less precise
ThermocoupleFast response, wide rangeRequires calibration, less accurate for small temperature changes
Infrared thermometerNon-contact, safe for hazardous environmentsExpensive, affected by surface emissivity

Example:

A Celsius thermometer reads 25°C. What is this temperature in Kelvin and Fahrenheit?

▶️ Answer/Explanation

Using T(K) = T(°C) + 273.15:

T(K) = 25 + 273.15 = \boxed{298.15 \ \text{K}}

Using T(°F) = \dfrac{9}{5} \times T(°C) + 32:

T(°F) = \dfrac{9}{5} \times 25 + 32 = \boxed{77°F}

Example:

A mercury-in-glass thermometer is calibrated such that the lower fixed point is 0°C and the upper fixed point is 100°C. If the mercury level is 40% of the distance from the lower to upper fixed point, what is the temperature?

▶️ Answer/Explanation

Temperature range = 100°C − 0°C = 100°C

40% of 100°C = 0.40 × 100 = \boxed{40°C}

Example:

A thermocouple shows a voltage of 2.5 mV. If its calibration chart says 1.0 mV corresponds to 25°C, what is the measured temperature?

▶️ Answer/Explanation

Temperature per mV = 25°C

Measured temperature = 2.5 × 25°C = \boxed{62.5°C}

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