To convert temperatures between different units, specific formulas are used. Let’s break down the conversions step by step:
- a) Convert 32 degrees Fahrenheit to degrees Celsius:
The formula to convert Fahrenheit to Celsius is:C = (F - 32) × 5/9
Using this formula:
C = (32 - 32) × 5/9 = 0 °C
So, 32 degrees Fahrenheit is 0 degrees Celsius. - b) Convert 77 Kelvin to degrees Fahrenheit:
The formula to convert Kelvin to Fahrenheit is:F = (K - 273.15) × 9/5 + 32
Applying this formula:
F = (77 - 273.15) × 9/5 + 32 = -195.67 °F
Thus, 77 Kelvin is approximately -195.67 degrees Fahrenheit. - c) Convert 109 degrees Fahrenheit to degrees Celsius:
Again, we use the conversion formula:C = (F - 32) × 5/9
For this case:
C = (109 - 32) × 5/9 = 42.78 °C
Therefore, 109 degrees Fahrenheit is about 42.78 degrees Celsius. - d) Convert 98.6 degrees Fahrenheit to Kelvin:
First, we convert Fahrenheit to Celsius, then from Celsius to Kelvin. The formulas are:
C = (F - 32) × 5/9
andK = C + 273.15
Step 1:C = (98.6 - 32) × 5/9 = 37 °C
Step 2:K = 37 + 273.15 = 310.15 K
Thus, 98.6 degrees Fahrenheit is 310.15 Kelvin.
These conversions rely on established formulas to ensure accuracy. If you’re working with temperature frequently, becoming familiar with these formulas can be quite beneficial!