{"knowledge_schema": {"broad_category": "Astronomy \u2192 Stellar Properties \u2192 Stellar Luminosity and Radius", "refinement": "This problem involves the relationship between a star's luminosity, temperature, and radius, specifically using the Stefan-Boltzmann Law.", "specific_scope": "The focus is on calculating the radius of a star given its luminosity relative to the Sun and its surface temperature.", "goal": "Determine the radius of the star in solar radii using the provided luminosity and temperature."}, "summary": "This problem relates to the field of astronomy, specifically the properties of stars. It requires understanding the relationship between a star's luminosity, temperature, and radius, which can be derived from the Stefan-Boltzmann Law. The goal is to calculate the radius of a star that has a luminosity of 2.5 times that of the Sun and a surface temperature of 7000K, ultimately determining its size in comparison to the Sun."}