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Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be
A
Infinite
B
3 Joules
C
9 Joules
D
Zero
Detailed Solution
Work done in expansion: $w = -p_{ext}\Delta V$
Expansion into vacuum is free expansion: there is nothing to push against, so $p_{ext} = 0$.
$w = -0\times\Delta V = 0$
This is true for any amount of gas, so the 'three moles' does not matter.
Work done = zero
Expansion into vacuum is free expansion: there is nothing to push against, so $p_{ext} = 0$.
$w = -0\times\Delta V = 0$
This is true for any amount of gas, so the 'three moles' does not matter.
Work done = zero