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Two identical vessels are connected by ...

Two identical vessels are connected by a tube with a valve letting the gas from one vessel into the other if the pressure difference `Delta p ge 1.10 atm`. Initially there was a vacuum in one vessel while the other contained ideal gas at a temperature `t_1 = 27 ^@C` and pressure `p_1 = 1.00 atm`. Then both vessels were heated to a temperature `t_2 = 10.7 ^@C`. Up to what value will the pressure in the first vessel (which had vacuum initially) increase ?

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