# The outside air temperature is 30°F, what is the temperature in Kelvin?

May 27, 2017

#### Answer:

$271.9 \text{K}$

#### Explanation:

We're given a temperature in degrees Fahrenheit, and asked to convert this temperature to Kelvin.

One way to convert a temperature value from degrees Fahrenheit to Kelvin is to first convert it to degrees Celsius, and then directly calculate that to Kelvin.

The formula for converting a temperature from "^oF to "^oC is given by

"^oC = 5/9("^oF-32)

In simple words, subtract $32$ from the Fahrenheit temperature, multiply that number by $5$, and then divide that by $9$ to get the Celsius temperature.

Plugging in our known temperature value, the temperature in "^oC is

"^oC = 5/9(30"^oF-32) = color(red)(ulbar|-1.1^oC|

And to convert from this Celsius temperature to Kelvin, we use the formula

$\text{K} =$ "^oC$+ 273$

So,

$\text{K" =-1.1^oC + 273 = color(blue)(ulbar|271.9"K} |$