I always get the most out of my workouts when I give my muscles adequate time to recover. Chest and back are opposing muscles, so you shouldn't suffer much from doing them on back to back days or consecutive days throughout the week. I find that my workouts are worse when I train muscles that involve the same muscle groups or the same types of movements (push movements/pull movements) back to back days or less than 3 days apart. With that taken into account, my typical week usually looks like this.
Day 1: Shoulders or Chest, arms (bis, or tris)
Day 2: Back, abs
Day 3: Quads, calfs
Day 4: Chest or Shoulders, arms (bis, or tris)
Day 5: Hams, Calfs, abs
Day 6: Cardio or off
Day 7: Cardio or off