A balloon containing an ideal gas has a volume of `10 litre` and temperature of `17^(@)`. If it is heated slowly to `75^(@)C`, the work done by the gas inside the balloon is (neglect elasticity of the balloon and take atmospheric pressure as `10^(5)` Pa)

Options

A. `100 J`
B. `200 J`
C. `250 J`
D. data insufficient

Answer

B

Explanation

Since elasticity of balloon is negligible, pressure inside balloon pressure outside balloon = `P_(atm)`
`:. W = P_(atm) DeltaV`
`V_(i n) = 10 litre`
`(V_(i n))/(T_(i n)) = (V_(fi n))/(T_(fi n) ) implies V_(fi nal) = ((V_(i n)T_(fi nal))/(T_(i n))) litre`
`implies W = P_(atm) V_(i n) ((T_(f i nal))/(T_(i n))-1)` ltbr gt`implies 10^(5)xx10^(-2)(58/290)= 200J`.