  In this paper we focus on the open symmetric exclusion process with parameter
$m$ (open SEP($m/2$)), which allows $m$ particles each site and has an open
boundary. We generalize the result about hydrodynamic limit for the open
SEP$(m/2)$ that was originally raised in Theorem 4.12 of arXiv:1908.02359. We
prove that the hydrodynamic limit of the density profile for a $d-$dimensional
open SEP$(m/2)$ solves the $(d+1)-$dimensional heat equation with certain
initial condition and boundary condition.
