Air is pumped into a balloon, of initial volume $V$ , until its diameter has doubled. If the atmospheric pressure is $p$ , what is the work done against the atmosphere ?
A$pV$
B$3\ pV$
C$4\ pV$
D$7\ pV$
Medium
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D$7\ pV$
d $V\ \propto \ R^3, R \rightarrow 2R$ then $V \rightarrow 8V$
Work $ = P (8V -V) = 7PV$ [isobaric process]
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(image)
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