# We say that Temperature is basically average kinetic energy so can't we say that unit of temperature is Joules??

##### 1 Answer

May 12, 2017

No, we don't. We say that temperature is PROPORTIONAL to the average kinetic energy...

#K_(avg) prop T#

More explicitly, from the so-called **equipartition theorem**,

#K_(avg) = N/2nRT# ,where

#N# is the number of degrees of freedom (unitless),#n# is the number of#"mol"# s of gas, and#R# is the universal gas constant.

When

#cancel"mols" xx "J/"cancel"mol"cdotcancel"K" xx cancel"K" = color(blue)("J")#

even though we *continue forevermore* to use units of