Temperature Conversions

Introduction

• Conversion between temperature units: Celsius, Fahrenheit, and Kelvin.
• Basics of conversion using formulas.

Converting Celsius to Fahrenheit

• Formula: ( F = 1.8 \times C + 32 )
• Example 1: Convert 100°C to Fahrenheit
  • Calculation: ( 1.8 \times 100 + 32 = 212°F )
  • Meaning: Boiling point of water is 212°F.
• Example 2: Convert 40°C to Fahrenheit
  • Calculation: ( 1.8 \times 40 + 32 = 104°F )

Converting Fahrenheit to Celsius

• Formula: ( C = \frac{(F - 32)}{1.8} )
• Example 1: Convert 98°F to Celsius
  • Calculation: ( \frac{(98 - 32)}{1.8} = 36.7°C )
• Example 2: Convert 130°F to Celsius
  • Calculation: ( \frac{(130 - 32)}{1.8} = 54.4°C )

Converting Celsius to Kelvin

• Formula: ( K = C + 273.15 )
• Typically use 273 for simplicity.
• Example: Convert 25°C to Kelvin
  • Calculation: ( 25 + 273 = 298K )

Converting Kelvin to Celsius

• Formula: ( C = K - 273.15 )
• Example: Convert 500K to Celsius
  • Calculation: ( 500 - 273 = 227°C )

Converting Fahrenheit to Kelvin

• Convert Fahrenheit to Celsius first, then Celsius to Kelvin.
• Example: Convert 300°F to Kelvin
  • Step 1: ( C = \frac{(300 - 32)}{1.8} = 148.9°C )
  • Step 2: ( K = 148.9 + 273 = 422.05K )

Converting Kelvin to Fahrenheit

• Convert Kelvin to Celsius first, then Celsius to Fahrenheit.
• Example: Convert 400K to Fahrenheit
  • Step 1: ( C = 400 - 273 = 127°C )
  • Step 2: ( F = 1.8 \times 127 + 32 = 260°F )

Special Case

• At -40°F, the temperature is the same in Celsius, -40°C.

Conclusion

• Understanding these conversion formulas allows for temperature conversion across different units effectively.