A hiker tries to prepare a hard-boiled egg on the high slopes of Mount Everest. The base camp is located 5,300 meters above sea level. The hiker observes that the water begins to boil at 82⁰C, much lower than the 100⁰C needed to cook the raw egg. He hopes that just leaving the egg in the boiling water longer will let the egg cook. Will he have hard-boiled eggs for breakfast?