A gaseous mixture of 4 g of oxygen and 2 g of helium expands adiabatically and reversibly from 20 litres to 30 litres. The initial temperature is 11 7 ∘ C . What is the final temperature (in

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n O 2 ​ ​ = 8 1 ​ mol , n He ​ = 2 1 ​ mol . C V mi x ​ = 8 1 ​ ⋅ 2 5 R ​ + 2 1 ​ ⋅ 2 3 R ​ = 16 17 R ​ ; C P mi x ​ = 16 27 R ​ . ​ γ = 17 27 ​ , so γ − 1 = 17 10 ​ . ​ T 2 ​ = T 1 ​ ( V 2 ​ V 1 ​ ​ ) γ − 1 = 390 ( 3 2 ​ ) 10/17 . ​

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