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System, Surroundings, Intensive, Extensive Properties

Two closed ve...

Question

Two closed vessel $A$ and $B$ of equal volume of $8.21 L$ are connected by a narrow tube of negligible volume with open valve. The left hand side container id found to contain $3 m o l e C O_{2}$ and $2 m o l e$ of $H e$ at $400 K$ . What is the partial pressure of $H e$ in vessel $B$ at $500 K$ ?

A

2.4 atm

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B

8 atm

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C

12 atm

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D

None of these

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Solution

The correct option is B 8 atm
partial pressure of $H e$ in vessel $B$ ,
$P V = n R T$
$P_{H e} = \frac{n R T}{V} = \frac{2 \times 8.314 \times 400}{8.21} = 8 a t m$

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