{"knowledge_schema": {"broad_category": "Chemistry \u2192 Stoichiometry \u2192 Gas Laws and Reactions", "refinement": "This problem involves analyzing the behavior of a gaseous mixture produced from the thermal decomposition of salts and understanding the interactions with various reagents.", "specific_scope": "The focus is on determining the total number of atoms in the original salts based on the mass changes observed in the tubes and the volume of gas produced.", "goal": "Calculate the total number of atoms in the salts X and Y by deducing their molecular formulas and using the provided data."}, "summary": "This problem is rooted in chemistry, specifically in stoichiometry and gas laws, where a mixture of salts is heated to produce gases that interact with various reagents. The task involves analyzing the mass changes in the tubes and the volume of gas produced to deduce the molecular formulas of the salts. The goal is to calculate the total number of atoms in the salts X and Y, leading to the conclusion that the answer is 17."}