Few gases are filled in a container as shown in diagram and allowed to attain equilibrium. (Assuming temperature remains constant through out the process.) Select the correct the option(s):

Engineering

Chemistry

Connected and Open Containers

Question

Few gases are filled in a container as shown in diagram and allowed to attain equilibrium.
(Assuming temperature remains constant through out the process.)

Select the correct the option(s):

Total moles of gas in compartment III will be 18.

The moles of H₂ in compartment II will be 3.

The length of compartment containing only H₂ will be 20 cm after equilibrium is attained.

The distance of movable piston from left end is 30 cm after equilibrium is attained.

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$\frac{10}{20 + y} = \frac{x}{40 - y} = \frac{10 - x}{40}$

$\frac{10}{20 + y} = \frac{10 - x}{40}$

$x = 10 - \frac{400}{20 + y}$

$\frac{10}{20 + y} = \frac{10 - \frac{400}{20 + y}}{40 - y}$

400 – 10 y = 10 (20 + y) – 400
400 – 10y = 200 + 10y – 400
600 = 20 y
y = 30
x = 2

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