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Mathematical Relationships Between Temperature Scales

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Mathematical Relationships Between Temperature Scales

Fahrenheit and Celsius

The Fahrenheit and Celsius temperature scales are commonly used in different regions and scientific contexts. Understanding how to convert between these scales is essential in chemistry and other sciences.

  • Fahrenheit (°F): A temperature scale primarily used in the United States. Water freezes at 32°F and boils at 212°F under standard atmospheric pressure.

  • Celsius (°C): The metric temperature scale used worldwide in science. Water freezes at 0°C and boils at 100°C under standard atmospheric pressure.

  • Conversion Formula: To convert a temperature from Celsius to Fahrenheit, use the following equation:

  • Example: To convert 25°C to Fahrenheit:

Kelvin and Celsius

The Kelvin scale is the SI unit for temperature and is widely used in scientific research. The Celsius and Kelvin scales have the same interval size, but different zero points.

  • Kelvin (K): The absolute temperature scale used in science. 0 K is absolute zero, the theoretical lowest possible temperature.

  • Celsius (°C): As described above, used for most everyday and laboratory temperature measurements.

  • Conversion Formula: To convert a temperature from Celsius to Kelvin, use the following equation:

  • Example: To convert 25°C to Kelvin:

Summary Table (described): The relationships between temperature scales can be summarized as follows:

  • To convert Celsius to Fahrenheit: multiply by 9/5 and add 32.

  • To convert Celsius to Kelvin: add 273.15.

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