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A vessel of uniform cross-section of len...

A vessel of uniform cross-section of length 500 cm as shown in figure is divided in two parts by a weightless and frictionless piston one part contains 5 moles of He(g) and other part 2 moles of `H_(2)(g)` and 4 moles of `O_(2)(g)` added at the same temperature and pressure in which reaction takes place finally vessel cooled to 300 K and 1 atm. What is the length of He compartment?
(Assume volume of piston and vol. of `H_(2)O(l)` formed are negligible)

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