Heat the oven to 350°. Make sure the kale is dry; if it is not, it will steam rather than crisp in the oven.
In a large bowl, toss kale pieces with olive oil and kosher salt; you may need to do this in 2 batches. Massage the oil onto each kale piece until the oil is evenly distributed and the kale glistens. Spread the kale out on 2 17-by-12-inch jellyroll pans (or do this in batches). Bake the kale chips until the leaves look crisp and crumble, about 12-16 minutes. If they are not ready, bake for another 2 to 4 minutes.
Remove from the oven and cool to room temperature. Sprinkle with the lime zest, sea salt and chile powder to taste.