# 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.

The expression for CAPE is:

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