I'm skeptical that a round from your Rem. would even make it to the meat/bone of a black bear after going through the fur, hide and fat. I have shot muzzle loaders, including C&B revolvers, almost exclusively since 1970 and believe I have a pretty good instinct for such things.
As a 'back up', forget it. Useless. For a coup de gras to the head, it should be OK.
Years ago I stopped carrying a 'back up' ML pistol while hunting (BTW, I live in the Arkansas Ozarks). It is just useless weight. I've never killed a bear but when the time comes, I'll concentrate on the first, maybe only, shot from my .54 Jaeger flinter doing the job with finality.
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