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  4. Two moles of an ideal gas expand spontaneously into vacuum. The work done is

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Q. Two moles of an ideal gas expand spontaneously into vacuum. The work done is

BVP MedicalBVP Medical 2009

Solution:

External pressure $ ({{p}_{ext}})=0 $ (for vacuum) In other words, the gas expands against a zero external pressure. Hence, no work is done, because there is no force which oppose expansion. $ W={{p}_{ext}}\Delta V=0 $