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

1 Answer
May 27, 2017

Answer:

#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"|#