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Consider three containers of the same volume that are thermally insulated (no heat is transferred) from each other, but are connected by thin pipes that allow gas to pass freely from one to another. The initial temperature and pressure of the gas in all three containers is Ti and Pi, respectively. Then, the temperature in the first container is doubled and the temperature in the second container is tripled, but the temperature in the third container remains the same. What is the final pressure Pf in terms of Pi ?

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