test","extracted_subject":"PHYSICS","extracted_chapter":"THERMODYNAMICS","extracted_topic":"HEAT, INTERNAL ENERGY AND WORK","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_3124.png?top_left_x=532&top_left_y=350&width=532&height=290&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e7e425d76b7ab32a56c","slug":"a-gas-is-expanded-to-double-its-volume-by-two-diff-1-1","content":"A gas is expanded to double its volume by two different processes. One is isobaric and the other is isothermal. Let W₁ and W₂ be the respective work done, then","options":[{"_id":"68a371db7f15af4716b461c3","text":"\$W_{2} = W_{1}\\ln(2)\$","sequence":0,"isCorrect":true},{"_id":"68a371db7f15af4716b461c4","text":"\$W_{2} = \\frac{W_{1}}{\\ln(2)}\$","sequence":1,"isCorrect":false},{"_id":"68a371db7f15af4716b461c5","text":"\$W_{2} = \\frac{W_{1}}{2}\$","sequence":2,"isCorrect":false},{"_id":"68a371db7f15af4716b461c6","text":"Data is insufficient","sequence":3,"isCorrect":false}],"correct_answer":"$$W_{2} = W_{1}\\ln(2)$","explanation":"Suppose initial temp is T₀\n\nIsobaric :\n\nW₁ = nRDT = nR(2T₀ – T₀) = nRT₀\n\nW₂ = nRT₀ \$\\mathcal{l}n\\frac{V_{2}}{V_{1}}\$ = nRT₀ln2","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:50.095Z","__v":0,"vector_store_id":"1b0d074f-1ec1-47b5-94b2-5af8a65b5d48","updated_at":"2024-08-30T21:49:50.095Z","isStarred":false},"params":{"questionSlug":"a-gas-is-expanded-to-double-its-volume-by-two-diff-1-1"}}]}]]

Question: A gas is expanded to double its volume by two different processes. One is isobaric and the other is ...

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