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JEE Main 202226 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Evening Shift
Subject
Chemistry
Chapter
States of Matter

JEE Main 2022 · 26 July · Evening Shift · Chemistry · States of Matter

A 10g mixture of hydrogen and helium is contained in a vessel of...

A 10g10g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125m30 . 0125{m}^{3} at 66 bar and 27°C27 ° C. The mass of helium in the mixture is ..... gg.

(Given : R=8.3JK−1mol−1R = 8 . 3{JK}^{- 1}{mol}^{- 1} (Atomic masses of HH and HeHe are 1u1u and 4u4u, respectively)

Correct answer

8

Step-by-step solution

PV=nmixRTPV = {n}_{mix}RT

nmix=6×12.50.083×300≈3{n}_{mix} = \dfrac{6 \times 12 . 5}{0 . 083 \times 300} \approx 3

Out of total 3 moles Let mole of He=xHe = x

Mole of H2=3−x{H}_{2} = 3 - x

Then total mass of the mixture will be = 4x+2(3−x)=104x + 2\left(3 - x\right) = 10

Number of moles of He gas x=2molx = 2mol

Mass of He=numberofmoles×molarmass=8gHe = numberofmoles \times molarmass = 8g

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