Distillates: one barrel, several labels
Crude distillation separates a barrel by boiling point. The middle cut is the distillate range, and four labels sit in it: No. 1 fuel oil and kerosene at the lighter end, and No. 2 heating oil and No. 2 diesel at the heavier end. The EIA's glossary defines No. 1 fuel oil as reaching 550 degrees Fahrenheit at its 90 percent recovery point and No. 2 fuel oil 640, which is why No. 1 flows at lower temperatures and No. 2 carries slightly more energy: EIA puts heating oil at 138,500 Btu a gallon, diesel at 137,381 and kerosene at 135,000.
What separates the labels in practice is not the chemistry but the paperwork. Heating oil is sold dyed red and, for the heating use it is meant for, pays only a small federal fee; the same liquid sold untaxed for a road vehicle would trigger penalties that the heating oil versus diesel guide computes. Sulfur limits arrived state by state for heating oil but nationally for road diesel. A fuel sold as kerosene may be the certified 1-K grade or a looser range-oil product, and the Consumer Product Safety Commission's guidance for portable heaters turns on exactly that difference.