The gas inside a spherical bubble expands uniformly and slowly so that its radius increases from `R` to `2R`. Let the atmospheric pressure be `p_(0)` and surface tension be `S`. The work done by the gas in the process is

Options

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

Explanation

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