  We establish the exact laws of large numbers for two time additive quantities
in the Raise and Peel model, the number of tiles removed by avalanches and the
number of global avalanches happened by given time. The validity of conjectures
for the related stationary state correlation functions then follow. The proof
is based on the technique of Baxter's T-Q equation applied to the associated
XXZ chain and on its solution at $\Delta=-1/2$ obtained by Fridkin, Stroganov
and Zagier.
