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Two thermally insulated vessels 1 and 2 are filled with air and connected by a short tube equipped with a valve. The volumes of the vessels, the pressures and temperatues of air in them are `V_(1),p_(1),T_(1)` and `V_(2),p_(2),T_(2)`, respectively. Find the air temperature and pressure after the opening of the valve.

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The correct Answer is:
`(T_(1)T_(2)(p_(1)V_(1)+p_(2)V_(2)))/((p_(1)V_(1)T_(2)+p_(2)V_(2)T_(1))),p=(p_(1)V_(1)+p_(2)V_(2))/(V_(1)+V_(2))`
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