Question

The outside air temperature is $30°\mathrm{F}$, what is the temperature in Kelvin?

Answer 1

Step 1: Given

The temperature in Fahrenheit is $30°\mathrm{F}$

Step 2: Fahrenheit to Kelvin formula

${\left(\mathrm{T}\right)}_{\mathrm{K}}=\frac{5}{9}\left[{\left(\mathrm{T}\right)}_{\mathrm{F}}+459.67\right]$

Here,

${\left(\mathrm{T}\right)}_{\mathrm{K}}$ is the temperature in Kelvin.

${\left(\mathrm{T}\right)}_{\mathrm{F}}$ is the temperature in Fahrenheit.

Step 2: Convert Fahrenheit to Kelvin

By substituting the given value in the formula, we get

$$\begin{gathered} \Rightarrow {\left(\mathrm{T}\right)}_{\mathrm{K}}=\frac{5}{9}[{\left(\mathrm{T}\right)}_{\mathrm{F}}+459.67] \\ =\frac{5}{9}[30+459.67] \\ =\frac{5}{9}\times 489.67 \\ =272\mathrm{K} \end{gathered}$$

Therefore, the temperature in Kelvin is $272\mathrm{K}$.