The chain doesn't really know or care what kind of bike it's on. As long as sprocket spacing and chain width are properly matched, road, mtn, commuter, etc. it's all the same.

But the is some difference in the amount of strain chains are subjected to in mtn use vs. road use, mainly from hard shifting. So chains that specifically say mtb may be slightly heavier duty than those labeled for road use. Not talking day and night differences, but I wouldn't use the lightest road chains off road.