Units of CAPE and CIN

The units of CAPE and CIN are Joules/kg. A joule is defined as the work done by accelerating a mass of one kilogram at the rate of one meter per second per second a distance of one meter.

Joule

The expression for CAPE is:

 

CAPE

which has units of m2 s-2. Hence, the unit for CAPE and CIN is Joule/kg.