A large freshwater fish has a swim bladder with a volume of

\(5.0 \times 10^{-4} \mathrm{~m}^{3}\). The fish descends from a depth where the absolute pressure is \(3.0 \mathrm{~atm}\) to deeper water where the swim bladder is compressed to \(60 \%\) of its initial volume. As the fish descends, the gas pressure in the swim bladder is always equal to the water pressure, and the temperature of the gas remains at the internal temperature of the fish's body. To adapt to its new location, the fish must add gas to reinflate its swim bladder to the original volume. This takes energy to accomplish. What's the minimum amount of work required to expand the swim bladder back to its original volume?