{"knowledge_schema": {"broad_category": "Physics \u2192 Thermodynamics \u2192 Statistical Mechanics", "refinement": "This problem involves understanding the behavior of gases and the principles of thermodynamics as they relate to Maxwell's demon and the concept of entropy.", "specific_scope": "The focus is on the conditions under which an ideal gas can be manipulated to favor one side of a compartmentalized system, specifically through the use of a one-way door mechanism.", "goal": "Identify the specific experimental parameter that would allow all of the gas to be trapped in one compartment of the apparatus."}, "summary": "This problem relates to the principles of thermodynamics and statistical mechanics, specifically in the context of Maxwell's demon thought experiment. The scenario involves an apparatus with two compartments and a one-way door, where the goal is to determine which experimental parameter would enable all gas to be trapped in one side. Understanding the behavior of gases under different conditions is crucial to solving this problem, and the correct parameter must be identified to achieve the desired outcome."}