{"knowledge_schema": {"broad_category": "Physics \u2192 Astrophysics \u2192 Black Holes", "refinement": "This problem involves the thermodynamic properties of black holes, specifically relating to Hawking radiation and the lifetime of a black hole based on its temperature and mass.", "specific_scope": "The focus is on calculating the lifetime of a supermassive black hole given its Hawking temperature and mass, using the relationship between these variables.", "goal": "Determine the order of magnitude of the black hole's lifetime based on its properties."}, "summary": "This problem pertains to astrophysics, specifically the study of black holes and their thermodynamic properties. It requires calculating the lifetime of a supermassive black hole using its Hawking temperature and mass. The goal is to find the order of magnitude of the black hole's lifetime, which is determined by the relationship between its temperature and mass. The answer indicates that the lifetime is on the order of 10^100 years, reflecting the long timescales associated with the evaporation of such massive black holes."}