A cylinder has a volume of 3m^3 containing gas with 250K temperature and a pressure of 50000Pa. Another cylinder has a volume of 7.2m^3 containing gas with 400K temperature and a pressure of 20000Pa. If we connect the two cylinders by a connecting tube and not changing the temperature,what will be the pressure in the end?
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The pressure is given by p = T 1 V 1 + T 2 V 2 T 1 p 1 V 1 + T 2 p 2 V 2 where p 1 = 5 0 0 0 0 , V 1 = 3 , T 1 = 2 5 0 , p 2 = 2 0 0 0 0 , V 2 = 7 . 2 , T 2 = 4 0 0 . So the final pressure is obtained after substitution to be equal to 3 2 0 0 0 Pa or 3 . 2 ∗ 1 0 4 Pa