A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300… | JEE Main 2021 (31 Aug, Shift 2)

Q60JEE Main 2021 · 31 AUG · SHIFT 2Medium

Gas Laws & Ideal Gas Equation

A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen will be :-

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Answer: (c)

Total moles $n = \frac{PV}{RT} = \frac{4 \times 10^5 \times 5 \times 10^{-4}}{8.31 \times 300} \approx 0.080$ mol.
$x + y = 0.080$ and $2x + 32y = 0.76$ give $x \approx 0.06$ mol H₂, $y \approx 0.02$ mol O₂.
Masses: H₂ $= 0.12$ g, O₂ $= 0.64$ g; ratio $= \frac{0.64}{0.12} = \frac{16}{3}$ .
So the answer is (c) $16 : 3$ .

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