In theory it may not be that much. There's no reason you can't reuse the same few J to split several molecules, and capture it again for the next batch.
One probably can't get a resersible process, but just adding up the energy to break all the trash can be wrong by several orders of magnitude.
One probably can't get a resersible process, but just adding up the energy to break all the trash can be wrong by several orders of magnitude.