I have one of em, mine mics .655 at the muzzle, don't have scales though, however I did in the past weigh one of my old 7-08 barrels also chrome moly, same taper, .670 muzzle 24" long and it was at 3lbs 2oz. no sights, so--- 2" shorter plus .024 bigger hole-----put the .308 barrel app. 2lb. 15oz to 3lbs.
hope this helps,
CB