# What are the equivalents of 0 K, 0°C, and 0°F in the other temperature scales?

Apr 1, 2017

0 K = -273.15 °C
0 K= -459.67 °F
0 °F= -17.78 °C
0 °F= 255.37 K
0 °C= 273.15 K
0 °C= 32 °F

#### Explanation:

Celsius and Fahrenheit are scales that were established from reference points (for example boiling point of water or melting point of water).
To get from °C to °F, the following function is used:
°F= °C * (9/5) + 32

To get from °F to °C, the following function is used:
°C= (°F-32) * (5/9)

0 Kelvin is the absolute zero point, which is the point where no molecule moves at all. This is the same as -273.15°C. Kelvin is an international SI unit.
To get from Kelvin to °C, the following function is used:
°C=K-273.15

To get from °C to Kelvin, the following function is used:
K=°C+273.15

0 Kelvin
0 Kelvin gives
0-273.15=-273.15 °C
Then we calculate fahrenheit °C = -273.15 gives
 -273.15 * (9/5) +32=-459.67 °F

0 °F
Filling in 0 °F, we get:
(0-32)*(5/9)= -17.78 °C
THen we calculate the amount of Kelvin:
$- 17.78 + 273.15 = 255.37$

0 °C
We calculate Kelvin at 0°C with the function:
$0 + 273.15 = 273.15 K$
With the function given, we can calculate °F at 0 °C
0*(9/5)+32=32 °F