Temperature Conversion Lecture

Overview

• Conversion between units of temperature: Fahrenheit, Celsius, and Kelvin.
• Different processes for converting between these temperatures.

Conversion Processes

Fahrenheit to Celsius

• Equation: ( F = 1.8 \times C + 32 )
• Steps:
  1. Subtract 32 from the Fahrenheit temperature.
  2. Divide the result by 1.8 to find the Celsius temperature.

Fahrenheit to Kelvin

• First convert Fahrenheit to Celsius.
• Then convert Celsius to Kelvin.

Celsius to Kelvin

• Equation: ( K = C + 273.15 )
• Simplified: Often rounded to ( K = C + 273 )

Kelvin to Celsius

• Equation: ( C = K - 273.15 )
• Simplified: Often rounded to ( C = K - 273 )

Kelvin to Fahrenheit

• Convert Kelvin to Celsius first.
• Use the Celsius to Fahrenheit conversion.

Examples

Example 1: Convert 212°F

• Celsius:
  • ( F = 1.8 \times C + 32 )
  • ( 212 = 1.8 \times C + 32 )
  • ( C = 100 ) (Boiling point of water)
• Kelvin:
  • ( K = C + 273 )
  • ( K = 373 )

Example 2: Convert -40°F

• Celsius:
  • ( -40 = 1.8 \times C + 32 )
  • Result: ( C = -40 ) (Fahrenheit equals Celsius at this point)
• Kelvin:
  • ( -40 + 273 = 233 )

Example 3: Convert 298 Kelvin

• Celsius:
  • ( C = 298 - 273 = 25 )
• Fahrenheit:
  • ( F = 1.8 \times C + 32 )
  • ( F = 77 )

Example 4: Convert 400 Kelvin

• Celsius:
  • ( C = 400 - 273 = 127 )
• Fahrenheit:
  • ( F = 1.8 \times 127 + 32 )
  • Result: Approximately ( F = 260.6 )

Example 5: Convert 0 Kelvin

• Absolute Zero:
  • Celsius: ( -273.15 )
  • Fahrenheit:
    • ( F = 1.8 \times (-273.15) + 32 )
    • Result: ( F = -459.67 )

Conclusion

• Converting between temperature units requires specific equations.
• Understanding each step helps in accurate conversion.

End of Lecture

Additional Tip

• Reversibility of operations (addition and subtraction, multiplication and division) is key in these calculations.