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

1 Answer
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#