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Equipartition Theorem

If 500 ml o...

Question

If $500 m l$ of a gas $A$ at $1000 t o r r$ and $1000 m l$ of gas $B$ at $800 t o r r$ are placed in a $2 L$ container, the final pressure will be :

100 t o r r

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650 t o r r

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1800 t o r r

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2400 t o r r

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Solution

The correct option is A $650 t o r r$
Given :

$P_{1} = 500$
$V_{1} = 1000$
$P_{2} = 1000$
$V_{2} = 1000$
$V_{3} = 2000$
$P_{3} = ?$

We have to use :

$P_{1} V_{1} + P_{2} V_{2} = P_{3} V_{3}$

$⟹ 500 \times 1000 + 1000 \times 800 = P_{3} \times 2000$
$⟹ P_{3} = 650$ torr.

Therefore, the option is B.

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