Verified Solution • 2025–26 Session moderate

QJEEM22Chc563: JEE Main 2022 Chemistry - Class 11 JEEM22Chc563 Solution: A 10   g mixture of hydrogen and helium is contained in a…

A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125 m3 at 6 bar and 27∘C. The mass of helium in the mixture is ____________ g. (nearest integer)

Given: R=8.3 J K−1 mol−1

(Atomic masses of H and He are 1u and 4u, respectively)

Step-by-Step Verified Solution

Number of moles of mixture of H2\mathrm{H}_{2} and He\mathrm{He}

=PVRT=6×105×0.01258.3×300=3

Let the mass of He in 10 g10 \mathrm{~g} mixture be xg\mathrm{xg}

∴x4+10−x2=3\therefore \frac{x}{4}+\frac{10-x}{2}=3

On solving x=8 gx=8 \mathrm{~g}

∴\therefore Mass of He\mathrm{He} in the mixture =8 g=8 \mathrm{~g}

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