Air is pumped into a balloon, of initial volume V , until its diameter has doubled. If atmospheric p

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11.Thermodynamics

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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

$7\ pV$

Solution

$V\ \propto \ R^3, R \rightarrow 2R$ then $V \rightarrow 8V$

Work $ = P (8V -V) = 7PV$ [isobaric process]

Standard 11

Physics

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