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Gases in Liquids

Three moles o...

Question

Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be :

A

infinite

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B

3 Joules

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C

9 Joules

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D

zero

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Solution

The correct option is D zero
The work done is the product of pressure and change in volume.
$W = - P Δ V$
Since the ideal gas expands spontaneously into vacuum, $P_{e x t} = 0$ ,
Hence work done is also zero.

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