Certainly! Let's convert the given temperature from Fahrenheit to Kelvin step-by-step.
### Step 1: Convert Fahrenheit to Celsius
First, we need to convert the temperature from Fahrenheit to Celsius using the formula:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
Given:
[tex]\[ \text{Fahrenheit} = 113 \][/tex]
Substitute the value into the formula:
[tex]\[ \text{Celsius} = (113 - 32) \times \frac{5}{9} \][/tex]
[tex]\[ \text{Celsius} = 81 \times \frac{5}{9} \][/tex]
[tex]\[ \text{Celsius} = 45.0 \][/tex]
So, 113 °F is equal to 45.0 °C.
### Step 2: Convert Celsius to Kelvin
Next, we convert the temperature from Celsius to Kelvin. The formula is:
[tex]\[ \text{Kelvin} = \text{Celsius} + 273.15 \][/tex]
Using the Celsius value we found:
[tex]\[ \text{Kelvin} = 45.0 + 273.15 \][/tex]
[tex]\[ \text{Kelvin} = 318.15 \][/tex]
So, 113 °F is equal to 318.15 K.
### Conclusion
Therefore, converting 113 °F to Kelvin yields:
[tex]\[ 113 \, \text{°F} = 318.15 \, \text{K} \][/tex]
