Christensen lists the 16" barrel as 1 lb 9.3 oz, but does not specify the weight of the 20" barrel.
Hey Tim: so according to the CA website they have two versions of a 16" .223 wylde carbon fiber wrapped barrels. So simple answer to your question it looks like its: 1 lb 9.3oz. The other barrel has a 2" gas seat and weighs 1 lb 11.2oz (all the other specs seem the same). Hope this helps.
Here are the specs from their website for this barrel:
Christensen Arms 416R Stainless Steel Aerograde Carbon Fiber Wrapped
Match Chamber
Button Rifled
½ × 28 Threaded Muzzle for 223/5.56 calibers, 5/8×24 for 300 Blackout & 6.5 Grendel caliber
Comes with gas tube and .936″ gas block
Weight of a 16″ .223 barrel is 1 lb 9.3 oz.