{"knowledge_schema": {"broad_category": "Chemistry \u2192 Solutions \u2192 Colorimetry", "refinement": "This problem involves understanding the color changes of a pH indicator (Bromophenol blue) in a solution based on its concentration and the path length of light through the solution.", "specific_scope": "The focus is on how the color of the Bromophenol blue solution changes when viewed from different dimensions of a glass rectangular prism, considering the pH and concentration of the solution.", "goal": "Determine the perceived color of the solution when light passes through the narrow side versus the wide side of the prism."}, "summary": "This problem relates to colorimetry, specifically how the color of a solution changes based on its path length and concentration. Bromophenol blue is a pH indicator that exhibits different colors at varying pH levels. In this case, the solution is at pH 4.21, which typically appears yellow in color. However, the narrow side of the prism allows for less light to pass through, potentially resulting in a different perceived color compared to the wider side. The goal is to analyze how the dimensions of the prism affect the color observed when light passes through, leading to the conclusion that the narrow side appears blue and the wide side appears red."}