Which level do you mean by the second one? The one with the acid, or the one with the robot?
If it's the latter, then as far as I know, you can get through it by moving one step to the right every turn. (Except when the robot is right next to you.)
In this case, when you're standing on the acid tile, you need to press the 'NEXT' button. The acid will then deal one point of damage to you, and afterward you'll have another move, allowing you to step to the right and leave the tile.
