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Temperature Scales and Conversion

Aug 30, 2025

Overview

This lecture covers the fundamental concepts of temperature, the three main temperature scales (Fahrenheit, Celsius, Kelvin), and how to convert between them.

Temperature Concepts

  • Temperature measures the average kinetic energy (energy of motion) in a system.
  • The unit "degrees" is used for Fahrenheit and Celsius, while Kelvin is simply "K" (no degrees).

Fahrenheit Scale (°F)

  • Used primarily in the United States.
  • Water freezes at 32°F and boils at 212°F.

Celsius Scale (°C)

  • Used in science and most of the world.
  • Water freezes at 0°C and boils at 100°C.
  • The scale is divided into 100 equal parts between freezing and boiling points.

Kelvin Scale (K)

  • SI unit for temperature, used in scientific contexts, especially gas laws.
  • Kelvin units are the same size as Celsius degrees but shifted by 273.15.
  • Zero Kelvin (0 K) is absolute zero, the lowest possible temperature.

Temperature Conversions

  • Fahrenheit to Celsius: °C = (°F − 32) × (5/9)
  • Celsius to Fahrenheit: °F = (°C × 9/5) + 32
  • Celsius to Kelvin: K = °C + 273.15
  • Kelvin to Celsius: °C = K − 273.15
  • For most classwork, 273 can be used instead of 273.15 for conversions.

Conversion Examples

  • Normal body temperature: 98.6°F = 37.0°C (to three significant figures)
  • 25°C = 77.0°F
  • Room temperature 72.0°F = 22.2°C = 295 K (rounded to three significant figures)

Key Terms & Definitions

  • Absolute Zero — The lowest possible temperature (0 K or −273.15°C), where no kinetic energy remains.
  • Kelvin (K) — The SI base unit for temperature, starting at absolute zero.
  • Celsius (°C) — A temperature scale based on water’s freezing (0°C) and boiling (100°C) points.
  • Fahrenheit (°F) — A temperature scale commonly used in the US; water freezes at 32°F and boils at 212°F.

Action Items / Next Steps

  • Practice converting temperatures between Fahrenheit, Celsius, and Kelvin.
  • Memorize freezing and boiling points of water in all three scales.
  • Be prepared to convert Celsius to Kelvin quickly for scientific applications.