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Two identical vessels are connected by a...

Two identical vessels are connected by a tube with a valve letting the gas pass from one vessel into the other if the pressure difference is `DeltaP`. Initially there was a vacuum in one vessel while the other contained ideal gas at a temperature `T_(1)` and pressure `P_(1)` Then both vessels were heated to a temperature `T_(2)`. Up to what value will the pressure in the first vessel (which had vaccum initially) increase?

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`P=(1)/(2)(P_(1)T_(2)//T_(1)-DeltaP`
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