Temperature Conversions

Converting Celsius to Fahrenheit

• Formula: Fahrenheit (F) = 1.8 × Celsius (C) + 32
• Example 1: Convert 100°C to Fahrenheit
  • Calculation: 1.8 × 100 + 32 = 180 + 32 = 212°F (Boiling point of water)
• Example 2: Convert 40°C to Fahrenheit
  • Calculation: 1.8 × 40 + 32 = 72 + 32 = 104°F

Converting Fahrenheit to Celsius

• Formula: Celsius (C) = (Fahrenheit (F) − 32) ÷ 1.8
• Example 1: Convert 98°F to Celsius
  • Calculation: (98 − 32) ÷ 1.8 = 66 ÷ 1.8 ≈ 36.7°C
• Example 2: Convert 130°F to Celsius
  • Calculation: (130 − 32) ÷ 1.8 = 98 ÷ 1.8 ≈ 54.4°C

Converting Celsius to Kelvin

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

Converting Kelvin to Celsius

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

Challenge Problem: Converting Fahrenheit to Kelvin

• Steps:
  1. Convert Fahrenheit to Celsius
  2. Convert Celsius to Kelvin
• Example: Convert 300°F to Kelvin
  • Step 1: (300 − 32) ÷ 1.8 = 268 ÷ 1.8 ≈ 148.9°C
  • Step 2: 148.9 + 273 ≈ 422.05K

Additional Example: Negative Temperature Conversion

• Example: Convert −40°F to Kelvin
  • Step 1: (−40 − 32) ÷ 1.8 = −72 ÷ 1.8 = −40°C (Fahrenheit and Celsius are identical at this point)
  • Step 2: −40 + 273 = 233K

Converting Kelvin to Fahrenheit

• Steps:
  1. Convert Kelvin to Celsius
  2. Convert Celsius to Fahrenheit
• Example: Convert 400K to Fahrenheit
  • Step 1: 400 − 273 = 127°C
  • Step 2: 1.8 × 127 + 32 = 228.6 + 32 = 260°F

Tips

• Use discretion for precision: Decide whether to include the decimal 273.15 based on the precision of Celsius values.