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)

Question

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)

Filo · Accepted Answer

Answer: cSolution: (c) Moles of O2​ remaining after reaction=4 - 1 = 3  V∝n is due to same T and P in each compartment after reaction.  ∴ Length of He compartment  5+35​×500=312.5cm

Question Text	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)
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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