High School

Make the following conversions:

a) 32 degrees Celsius to Fahrenheit

b) -8.6 degrees Fahrenheit to Celsius

c) 273 degrees Celsius to Kelvin

d) 100 Kelvin to degrees Fahrenheit

Answer :

Final answer:

To convert temperatures between Celsius, Fahrenheit, and Kelvin, specific conversion formulas are applied. The solutions: 32°C is 89.6°F, -8.6°F is -22.56°C, 273°C is 546.15K, and 100K is -279.67°F.

Explanation:

To answer your questions, we will use the relevant conversion equations for temperature. Here are the steps and solutions for each part of your question:

  1. 32 degrees Celsius to Fahrenheit: The equation to convert Celsius to Fahrenheit is: T(°F) = (T(°C) × 9/5) + 32. Applying the equation we get: (32 × 9/5) + 32 = 89.6°F.
  2. -8.6 degrees Fahrenheit to Celsius: The equation to convert Fahrenheit to Celsius is: T(°C) = (T(°F) - 32) × 5/9. Applying the equation we get: (-8.6 - 32) × 5/9 ≈ -22.56°C.
  3. 273 degrees Celsius to Kelvin (K): The equation for converting Celsius to Kelvin is T(K) = T(°C) + 273.15. Applying the equation we get: 273 + 273.15 = 546.15K.
  4. 100 Kelvin to degrees Fahrenheit: To convert Kelvin to Fahrenheit, we first convert Kelvin to Celsius using T(°C) = T(K) - 273.15, then convert Celsius to Fahrenheit. Converting 100K to Celsius: 100 - 273.15 = -173.15°C. Then converting -173.15°C to Fahrenheit: (-173.15 × 9/5) + 32 ≈ -279.67°F.

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