  We study the probability distribution of residence time, $T$, of the sand
grains in the one dimensional abelian sandpile model on a lattice of $L$ sites,
for $T<<L^2$ and $T>>L^2$. The distribution function decays as
$\exp(-\frac{K_LT}{L^2})$. We numerically calculate the coefficient $K_L$ for
the value of $L$ upto 150 . Interestingly the distribution function has a
scaling form $\frac{1}{L^a}f(\frac{T}{L^b})$ with $a \neq b$ for large $L$.
