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The gas inside a spherical bubble expand...

The gas inside a spherical bubble expands uniformly and slowly so that its radius increases from R to 2R. The atmospheric. Pressure is `P_0` and surface tension is s. The work done by the gas in the process is

A

`(28pip_(0)R^(3))/(3)+24piSR^(2)`

B

`(25pip_(0)R^(3))/(3)+24piSR^(2)`

C

`(25pip_(0)R^(3))/(3)+(23piSR^(2))/(2)`

D

None of these

Text Solution

Verified by Experts

`W=int_(R )^(2R)(p_(0)+(4S)/(r ))4pir^(2)dr=4pip_(0)xx(7R^(3))/(3)+(4pi)(4S)xx(3R^(2))/(2)`
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