Verified Solution • 2025–26 Session moderate

QJEEM22Ch3dcd: JEE Main 2022 Chemistry - Class 11 JEEM22Ch3dcd Solution: A mixture of hydrogen and oxygen contains hydrogen by mass when …

A mixture of hydrogen and oxygen contains 40%40 \% hydrogen by mass when the pressure is 2.22.2 bar. The partial pressure of hydrogen is bar. (Nearest Integer)

Step-by-Step Verified Solution

40% w/w40 \% \,\mathrm{w} / \mathrm{w} hydrogen gas is given in mixture of H2\mathrm{H}_{2} and oxygen.

Wt. of H2=40 g\mathrm{H}_{2}=40 \mathrm{~g}

Wt. of O2=60 g\mathrm{O}_{2}=60 \mathrm{~g}

χH2=nH2nH2+nO2\chi_{\mathrm{H}_{2}}=\frac{\mathrm{n}_{\mathrm{H}_{2}}}{\mathrm{n}_{\mathrm{H}_{2}}+\mathrm{n}_{\mathrm{O}_{2}}}

=402402+6032=\frac{\frac{40}{2}}{\frac{40}{2}+\frac{60}{32}}

=2020+1.875=\frac{20}{20+1.875}

=2021.875=0.914=\frac{20}{21.875}=0.914

PH2=χH2×PT\mathrm{P}_{\mathrm{H}_{2}}=\chi_{\mathrm{H}_{2}} \times \mathrm{P}_{\mathrm{T}}

=0.914×2.2=0.914 \times 2.2

=2.01≃2bar=2.01 \simeq 2 \mathrm{bar}

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