test","extracted_subject":"PHYSICS","extracted_chapter":"THERMAL PROPERTIES OF MATTER","extracted_topic":"SPECIFIC HEAT CAPACITY","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_353.png?top_left_x=532&top_left_y=798&width=532&height=272&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23c6d70136192204bb055","slug":"12-mole-of-helium-gas-is-contained-in-a-container-","content":"1/2 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (heat capacity of the gas = 3 Jg^–1 K^–1) is –","options":[{"_id":"68a3d38b7f15af4716c51868","text":"3276 J","sequence":0,"isCorrect":false},{"_id":"68a3d38b7f15af4716c51869","text":"1638 J","sequence":1,"isCorrect":true},{"_id":"68a3d38b7f15af4716c5186a","text":"819 J","sequence":2,"isCorrect":false},{"_id":"68a3d38b7f15af4716c5186b","text":"409.5 J","sequence":3,"isCorrect":false}],"correct_answer":"1638 J","explanation":"DQ = nC_v DT, ms = \\(\\frac{3J}{g - Kel}\\), nC_v = 3\n\n\\(\\frac{1}{4}\\) × C_v = 3 \\C_v =\\(\\frac{12J}{mol - Kel}\\), n¢C_v =\\(\\frac{1}{2}\\)×12 = 6\n\nDQ = n¢ C_v DT = 6 × 273 = 1638 J","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:41:01.257Z","__v":0,"vector_store_id":"5fa872e2-1d37-4cec-9875-842efee8d9eb","updated_at":"2024-08-30T21:41:01.256Z","isStarred":false},"params":{"questionSlug":"12-mole-of-helium-gas-is-contained-in-a-container-"}}]}]]

Question: 1/2 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pr...

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