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IB DP Physics Study Notes

3.1.2 Temperature Scales

Temperature scales offer a framework to gauge the relative warmth or coldness of objects and environments. Though we often encounter these scales in our daily experiences, comprehending their origins, definitions, and variances is paramount in physics. Let's delve into the details of the Celsius, Kelvin, and Fahrenheit scales, each with its unique stories, properties, and usages.

Celsius Scale

Attributed to the Swedish astronomer Anders Celsius, this scale, sometimes referred to as the centigrade scale, finds extensive application in science and day-to-day experiences worldwide.

  • Historical Origin: Anders Celsius introduced this scale in the 18th century, marking a system with 100 degrees between water's freezing and boiling points.
  • Zero Point: At 0°C, water freezes under standard atmospheric conditions.
  • 100 Degrees: Representing water's boiling point under similar conditions, water starts boiling at 100°C.
  • Usage: From meteorological predictions to lab studies, Celsius is the preferred temperature metric in numerous nations.
  • Conversion to Other Scales:
    • To Kelvin: Temperature in Kelvin = Temperature in °C + 273.15
    • To Fahrenheit: Temperature in °F = (Temperature in °C x 9/5) + 32

Kelvin Scale

Thanks to British physicist Lord Kelvin, we have the Kelvin scale. Renowned in various scientific disciplines, this scale stands out due to its absolute nature.

  • Historical Context: Introduced in the 19th century by Lord Kelvin, the objective was an absolute temperature scale, eliminating negative values.
  • Absolute Zero: This is the scale's lowest point, where theoretically all molecular motion ceases, corresponding to -273.15°C.
  • Increments: A 1 K change aligns with a 1°C change, mirroring the Celsius scale's increments.
  • Usage: This scale is a favourite in scientific pursuits, especially when exploring thermodynamics and studying phenomena close to absolute zero.
  • Conversion to Other Scales:
    • To Celsius: Temperature in °C = Temperature in K - 273.15
    • To Fahrenheit: Firstly, convert Kelvin to Celsius, then use the formula mentioned in the Celsius section.

Fahrenheit Scale

Originating from the research of Daniel Gabriel Fahrenheit, a Polish-German physicist, this scale was the predominant temperature measure in English-speaking regions until the mid-20th century.

  • Historical Background: Fahrenheit's 18th-century scale was predicated on three points: the freezing temperature of brine (0°F), water's freezing point (32°F), and the human body's typical temperature (initially around 96°F, later adjusted to 98.6°F).
  • Freezing & Boiling Points: In contrast to Celsius, water freezes at 32°F and boils at 212°F under standard atmospheric conditions on the Fahrenheit scale.
  • Usage: While its global dominance has reduced, Fahrenheit remains the primary scale in the US and select Caribbean territories. Some engineering fields also favour it for its granularity.
  • Characteristics: With smaller increments, Fahrenheit can often provide more nuanced representations of temperature shifts, especially useful in detailed meteorological analyses.
  • Conversion to Other Scales:
    • To Celsius: Temperature in °C = (Temperature in °F - 32) x 5/9
    • To Kelvin: Convert Fahrenheit to Celsius first, then add 273.15.

FAQ

Absolute zero, at -273.15°C or 0K, represents a state where theoretical molecular motion ceases. While reaching absolute zero is a central concept in thermodynamics, in practice, it's impossible to cool any substance to absolute zero. However, scientists have come extremely close. Advanced techniques in cryogenics and laser cooling have enabled us to achieve temperatures mere billionths of a degree above absolute zero. These extremely low temperatures are crucial for certain quantum experiments and for the study of superfluidity and superconductivity.

While the Kelvin scale is absolute and crucial for many scientific calculations, especially in thermodynamics, the Celsius scale remains practical for a plethora of reasons. Celsius is based on easily observable and replicable reference points (freezing and boiling of water), making it intuitive and easily understood. Most day-to-day phenomena and reactions occur in temperatures that are more relatable in the Celsius scale. Hence, for many experiments and observations, especially those not approaching absolute zero or dealing with extremely high temperatures, the Celsius scale remains more intuitive and convenient.

The shift from Fahrenheit to Celsius in many parts of the world was primarily influenced by the move towards metric standardisation. The Celsius scale, being part of the metric system, integrates seamlessly with other metric measurements, facilitating scientific calculations and experiments. Additionally, its reference points based on the properties of water are easily replicable and understood universally. The global push, especially after the mid-20th century, towards a unified system of measurements for science, trade, and daily life, saw Celsius being favoured over Fahrenheit in most countries. The U.S. remains a notable exception, still predominantly using the Fahrenheit scale.

The body's temperature is variable and is influenced by a range of factors like health, activity levels, and the surrounding environment. While Fahrenheit used the human body temperature as a reference, it's important to note that it was only one of the three reference points he used. Celsius and Kelvin scales chose reference points that are consistent, universally applicable, and easily replicable in a laboratory setting. Using the freezing and boiling points of water as reference makes the Celsius scale more universally standardised and applicable for scientific experiments and daily measurements.

The Fahrenheit scale has smaller increments between its defined freezing and boiling points of water than the Celsius scale. This granularity offers a more detailed representation of temperature changes, especially when slight changes can be meaningful. For instance, in detailed meteorological analyses, a more nuanced temperature representation can provide better insights into weather patterns. Additionally, for everyday non-scientific purposes, especially in regions used to the Fahrenheit scale, this granularity might feel more intuitive and offer a more precise feel of temperature differences without resorting to decimal values.

Practice Questions

Describe the historical context and primary application for each of the following temperature scales: Celsius, Kelvin, and Fahrenheit.

The Celsius scale, introduced by the Swedish astronomer Anders Celsius in the 18th century, was established with a 100-degree difference between the freezing and boiling points of water. It's widely used in daily life across many countries for tasks like weather forecasting and laboratory measurements. The Kelvin scale, introduced in the 19th century by British physicist Lord Kelvin, was devised as an absolute temperature scale, with its zero point representing a theoretical absolute zero where all molecular motion ceases. It is mainly used in scientific research, especially in thermodynamics. The Fahrenheit scale, developed by Polish-German physicist Daniel Gabriel Fahrenheit in the 18th century, used three reference points: the freezing point of brine, the freezing point of water, and body temperature. While its global usage has decreased, it's still the primary scale in the United States and a few Caribbean countries, particularly for domestic purposes and weather reporting.

A weather report from the USA states that the temperature will be 86°F today. Convert this temperature to Celsius and Kelvin. Explain your steps.

To convert from Fahrenheit to Celsius, we subtract 32 from the Fahrenheit value and then multiply by 5/9. Applying this to 86°F: (86 - 32) multiplied by 5/9 gives us 30°C. So, 86°F is equivalent to 30°C.

To convert from Celsius to Kelvin, we simply add 273.15 to the Celsius value. Thus, 30°C + 273.15 equals 303.15K. Therefore, 86°F can also be represented as 303.15K.

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