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  4. The total pressure of a mixture of H 2 and O 2 is 1.00 bar. The mixture is allowed to react to form water which is completely removed to leave only pure H 2 at a pressure of 0.35 bar. Assuming ideal gas behaviour and that all pressure measurements were made under the same conditions of temperature and volume. The mole fraction of H 2 in the original mixture is

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Q. The total pressure of a mixture of $H _2$ and $O _2$ is $1.00$ bar. The mixture is allowed to react to form water which is completely removed to leave only pure $H _2$ at a pressure of $0.35$ bar. Assuming ideal gas behaviour and that all pressure measurements were made under the same conditions of temperature and volume. The mole fraction of $H _2$ in the original mixture is

NTA AbhyasNTA Abhyas 2022

Solution:

Let pressure of $O _2$ be ' $x$ '
$\therefore$ Pressure of $H _2=1-x$
image
$H _2$ remaining $=1-3 x =0.35$
$\therefore x =\frac{0.65}{3}$
$X_{O_2}=0.217 \simeq 0.22$
$X_{H_2}=0.78$