2mg of Lorazepam is pretty heavy. Now, it is also a benzodiazepine, but it's not exactly the same as Diazepam. And 2mg of Lorazepam does not compare to 2mg of Diazepam. That 20mg is more likely to be a good comparison. But still, it is a different drug...
Now, unless you've been a regular user of benzodiazepine drugs, it should work...
But don't drive then...