A vessel of uniform cross-section of length 500 cm as shown in fig. is divided in two parts by a weightless and frictionless piston. One part contains 5 moles of He ( g ) and other part contains 2 mol

Question

A vessel of uniform cross-section of length 500 cm as shown in fig. is divided in two parts by a weightless and frictionless piston. One part contains 5 moles of $He (g)$ and other part contains 2 moles of $H_{2} (g)$ and 4 moles of $O_{2} (g)$ , at the same temperature and pressure. A reaction takes place in other part and finally vessel is 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).

TestHub · Accepted Answer

Moles of O 2 ​ remaining after reaction = 4 − 1 = 3 V ∝ n is due to same T and P and each compartment after reaction ∴ Length of He compartment 5 + 3 5 ​ × 500 = 312.5 cm

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