Smoking a whole chicken takes needs to be cooked at 225°F (107°C), and takes about 45 minutes per pound of meat. This can take about 2-4 hours in total, but will ultimately depend on when the internal temperature of the meat reaches 165°F (75°C).
Brush the chicken with barbecue sauce, and cook for an additional 25-30 minutes or until the internal temperature reaches 165 degrees F.