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A certain balloon maintains an internal ...

A certain balloon maintains an internal gas pressure of `P_(0) = 100 k Pa` until the volume reaches `V_(0) = 20 m^(3)`. Beyond a volume of `20 m^(3)`, the internal pressure varies as `P = P_(0) + 2 k (V - V_(0))^(2)` where `P` is in kPa. `V` is n `m^(3)` and `k` is a constant `(k = 1 kPa//m^(3))`. Initially the balloon contains helium gas at `20^(@)C`, 100 kPa with a `15 m^(3)` volume. The balloon is then heated until the volume becomes `25 m^(2)` and the pressure is 159 kPa. Assume ideal gas behaviour fro helium. The work done by the balloon for the entire process in kJ is

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