A container has two chambers of volumes V₁=2 litres and V₂=3 litres separated by a partition made of a thermal insulator. The chambers contains n₁=5 and n₂=4 moles of ideal gas at pressures p₁=1 ~atm and p₂=2 ~atm , respectively. When the p

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A container has two chambers of volumes V₁=2 litres and V₂=3 litres separated by a partition made of a thermal insulator. The chambers contains n₁=5 and n₂=4 moles of ideal gas at pressures p₁=1 ~atm and p₂=2 ~atm , respectively. When the partition is removed, the mixture attains an equilibrium pressure of :

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Correct answer: B. 1.6 atm

By energy conservation aligned & E ₁+ E ₂= E _ mix & n ₁ f ₁ RT ₁ 2 + n ₂ f ₂ RT ₂ 2 = ( n ₁ n ₂ ) fRT _ mix 2 & 3 2 P ₁ ~V ₁+ 3 2 P ₂ ~V ₂= 3 2 P _ mix ( V ₁+ V ₂ ) & 3 2 1 2+ 3 2 2 3= 3 2 P _ mix (5) & P _ mix = 8 5 & P _ mix =1.6 ~atm aligned

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