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Avogadro's Law & Gay Lussac's Law

50 Ltr of a c...

Question

$50$ Ltr of a certain liquid is confined in a piston system at the external pressure $100$ atm. This pressure is suddenly released and liquid is expanded against the constatn atmospheric pressure, volume of the liquid increases by $1$ Ltr and the final pressure of the liquid is $10$ atm. Find the work done?

A

1 L

atm

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B

5 L

atm

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C

500 L

atm

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D

50 L

atm

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Solution

The correct option is B $1 L$ atm
The external pressure is $100$ atm
change in volume=51-50=1 L
work done for constant pressure= $P (Δ) V$
$100 * 1 = 100 J$
$1 L a t m = 100 J$
Hence , the answer is $1 L$ atm or $100 J$ .

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