QJEEM22Ph38d0: JEE Main 2022 Physics - Class 11 JEEM22Ph38d0 Solution: A mixture of hydrogen and oxygen has volume 2000 cm 3 ,…

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QJEEM22Ph38d0: JEE Main 2022 Physics - Class 11 JEEM22Ph38d0 Solution: A mixture of hydrogen and oxygen has volume 2000 cm 3 ,…

A mixture of hydrogen and oxygen has volume 2000 cm³, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be:

[Take gas constant R = 8.3 JK^{$-$ 1}mol^{$-$ 1}]

Multiple Choice Options

A 13
B 31
C 116
D 161

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Accepted Answer

$P_{1} V = n_{1} R T$

$P_{2} V = n_{2} R T$

$\Rightarrow$ (100 kPa) V = (n₁ + n₂)RT

$\Rightarrow n_{1} + n_{2} = \frac{(100 k P a) (2000 c m^{3})}{8.3 \times 300}$ ..... (1)

Also, n₁ $\times$ 2 + n₂ $\times$ 32 = 0.76 ...... (2)

Solving (1) and (2),

n₁ = 0.06

n₂ = 0.02

$\Rightarrow \frac{n_{1}}{n_{2}} = 3$

QJEEM22Ph38d0: JEE Main 2022 Physics - Class 11 JEEM22Ph38d0 Solution: A mixture of hydrogen and oxygen has volume 2000 cm 3 ,…

Multiple Choice Options

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