Question

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

Answer 1

`271.9"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

`"K" =` `"^oC` `+ 273`

So,

`"K" =-1.1^oC + 273 = color(blue)(ulbar|271.9"K"|`