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Then how would you explain thermosphere with only the facts you mention? It starts just below the Kármán line at 90km above the sea level, where the pressure is much lower than even the peak of Mt. Everest, and yet the temperature range within is between 500 and 2500 °C. You aren't saying anything that's wrong on its own, but it's not the full picture of the problem. Think of what happens in the atmosphere at different heights, its composition and how it affects the flow of energy.