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) A. 187.5 cmB. 300 cmC. 312.5 cmD. none of these

A vessel of uniform cross-section of length 500 cm as shown in figure

1.	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) A. 187.5 cmB. 300 cmC. 312.5 cmD. none of these
Answer» Correct Answer - c (c) Moles of `O_(2)` remaining after reaction=4 - 1 = 3 `V prop n` is due to same T and P in each compartment after reaction. `:.` Length of He compartment `(5)/(5+3)xx500=312.5cm`

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