What I am about to say is purely my opinion:
Never ever run straight #1 diesel in your truck. It doesn't have the lubricity of #2 and it will harm your fuel system. If you must run straight #1 then do like Gary does and add major lubricity-enhancing additives (I believe Gary uses PS and ashless 2-stroke oil).
Here is some data on #1 and #2:
#1 (Light Diesel Oil):
Chemical Formula - C12H26
Molecular Weight - 170
Specific Gravity - 0. 876
Higher Heating Value - 19240 Btu/lbm
Lower Heating Value - 18250 Btu/lbm
#2 (Medium Diesel Oil):
Chemical Formula - C13H28
Molecular Weight - 184
Specific Gravity - 0. 920
Higher Heating Value - 19110 Btu/lbm
Lower Heating Value - 18000 Btu/lbm
Diesel fuel is rated by its cetane number. Cetane number is determined by running a CI engine on a mixture of cetane (C16H34), and alpha-methylnaphthalene (C10H7CH3) which gives the same delay as the fuel under test. The percentage of cetane in the mixture is then termed the "cetane number" of the fuel under test. This is very similar to the way gasoline is tested.
Again, this is just my opinion. I encourage everyone to carry out their own research into the matter and come to their own conclusions.
-Ryan
