A new measure is introduced to characterize the reduction of concentra
tion values found in a contaminant cloud. The ''expected mass fraction
'' presents the mass of contaminant (or exposure time) al the various
contaminant concentration values observed when a contaminant cloud pas
ses over a fixed sampling location. This measure is shown to be easy t
o compile and to provide a reasonable ensemble average approximation w
ith as few cloud releases as would be required for the more convention
al dosage measurement. The new measure is shown to have a good prospec
t of theoretical predictability due to its definition in terms of the
one-point probability density function of contaminant concentration an
d recent advances in predicting the moments of that probability densit
y function. Experiments from the Warren Spring Laboratory are used to
illustrate the application of the ''expected mass fraction''.