# How do you convert Kelvin to Fahrenheit?

Dec 18, 2016

Convert into Celsius first, then from Celsius into Fahrenheit.

#### Explanation:

Kelvin is a derivative temperature of Celsius, therefore you must convert into Celsius first, before converting into Fahrenheit.

To convert Kelvin into Celsius, you simply add 273.15.

E.g.

${T}_{\text{C" = T_"K}} + 273.15$

$= - 273.15 K + 273.15$

$= 0$

$- 273.15 K$ is ${0}^{o} C$.

To convert Celsius into Fahrenheit, you have to multiply the Celsius temperature with $\frac{9}{5}$, then add $32$.

E.g.

${T}_{\text{F" = T_"C}} \left(\frac{9}{5}\right) + 32$

$= 0 \left(\frac{9}{5}\right) + 32$

$= 0 + 32$

$= 32$

${0}^{o} C$ is ${32}^{o} F$.

Hope this helps :)

Dec 18, 2016

By combining two formulas.

""^@ "F" = 9/5("K") - 459.67

Normally, we consider $\text{^@ "C}$ going to $\text{K}$ or the other way around:

$\text{^@ "C" + 273.15 = "K}$

""^@ "F" = 9/5(""^@ "C") + 32

You could use both formulas to do the conversion, or you could substitute one into the other and derive a new formula.

Since $\text{K" - 273.15 = ""^@ "C}$:

""^@ "F" = 9/5("K" - 273.15) + 32

With some simplification, we obtain the conversion formula from $\text{K}$ to $\text{^@ "F}$:

color(blue)(""^@ "F" = 9/5("K") - 459.67)

Notice that this looks similar to the $\text{^@ "C" -> ""^@ "F}$ conversion.

This demonstrates that the Fahrenheit scale has different intervals in comparison to the Celsius and Kelvin scales.