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Convert 100 degrees Fahrenheit to Kelvin. (Show your work)
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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Recall the conversion formula from Fahrenheit to Celsius

T_{C} = \frac{5}{9}(T_{F} - 32)
The first step is to convert Fahrenheit to Celsius using the formula:

Step 3:
: Calculate the Celsius temperature

T_{C} = 37.78 \text{ }^{\circ}\text{C}
Plugging in 100°F into the formula:

Step 4:
: Convert Celsius to Kelvin

T_{K} = T_{C} + 273.15
The conversion from Celsius to Kelvin uses the formula:

Step 5:
: Calculate the Kelvin temperature

T_{K} = 37.78 + 273.15
T_{K} = 310.93 \text{ K}

Final Answer

100 degrees Fahrenheit is equal to 310.93 Kelvin.