To convert 311 Kelvin to Fahrenheit, follow these steps:
1. Convert Kelvin to Celsius:
- The formula for converting Kelvin to Celsius is:
[tex]\[
\text{Celsius} = \text{Kelvin} - 273.15
\][/tex]
- Substituting 311 Kelvin into the formula:
[tex]\[
\text{Celsius} = 311 - 273.15 = 37.85
\][/tex]
2. Convert Celsius to Fahrenheit:
- The formula for converting Celsius to Fahrenheit is:
[tex]\[
\text{Fahrenheit} = (\text{Celsius} \times \frac{9}{5}) + 32
\][/tex]
- Substituting 37.85 Celsius into the formula:
[tex]\[
\text{Fahrenheit} = (37.85 \times \frac{9}{5}) + 32
\][/tex]
- Simplifying this calculation:
[tex]\[
37.85 \times \frac{9}{5} = 68.13
\][/tex]
[tex]\[
68.13 + 32 = 100.13
\][/tex]
3. Round to the nearest whole number:
- 100.13 rounded to the nearest whole number is:
[tex]\[
100
\][/tex]
Therefore, 311 Kelvin is approximately 100 Fahrenheit when rounded to the nearest whole number.
