{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"frontierscience","formal_name":"FrontierScience","introduction":"専門的な科学課題を解く能力を評価するベンチマークです。公開データはolympiadとresearchに分かれ、競技問題と研究課題を区別して扱います。\n\nFrontierScience evaluates the ability to solve expert-level scientific tasks. Its public data separates olympiad and research problems so that competition and research tasks can be examined independently.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/openai/frontierscience","indexing_mode":"noindex"},"task_id":"fb89519f-4c56-5423-8c46-02b156149597","task_key":"olympiad--test--4195adea~2d9fa5~2d4f25~2d91ef~2debd6c57cfb88","task_revision_id":"1","upstream_id":"4195adea-9fa5-4f25-91ef-ebd6c57cfb88","short_description":"A thin-walled insulated container of mass `\\(M\\)` (ignoring the thickness of the…","config":"olympiad","split":"test","body":"{\"problem\":\"A thin-walled insulated container of mass `\\\\(M\\\\)` (ignoring the thickness of the container) floats in space (considered as a vacuum), initially at rest, is filled with `\\\\(N_0\\\\)` molecules of nitrogen gas (`\\\\( N_2 \\\\)`), at an equilibrium temperature of `\\\\(T_0\\\\)`, and the mass per molecule of nitrogen of `\\\\(m\\\\)`. In this case, we assume that `\\\\(M\\\\gg N_0m\\\\)`. A small hole appears in the container, which is so small that it is much smaller than the mean free path of the gas (that is, `\\\\( \\\\sqrt{A} << \\\\lambda \\\\)` where `\\\\( A \\\\)` is the area of the hole and `\\\\( \\\\lambda \\\\)` is the mean free path length). The rate of escape of the gas is so slow that we can treat the gas in the container as an equilibrium state of uniform temperature at every instant. The Boltzmann constant is `\\\\(k_B\\\\)` and all temperatures are absolute.\\n\\nWhat is the equilibrium temperature `\\\\(T\\\\)` when there are `\\\\(N\\\\)` nitrogen molecules left in the container?\\n\\nThink step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.\",\"subject\":\"physics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/openai/frontierscience","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}