A cylindrical canister fitted with a piston at one end contains an ideal gas and floats at the surface of a freshwater lake, where the temperature is \(300 \mathrm{~K}\). The gas pressure inside the canister is just enough to balance atmospheric pressure, and so the piston does not slide downward. Initially the canister volume is \(3.64 \mathrm{~L}\). The canister is lowered into the lake until it is \(12.0 \mathrm{~m}\) below the surface, where the temperature is \(280 \mathrm{~K}\).

(a) What is the canister volume once equilibrium is reached at this depth?

(b) What is the change in entropy of the gas during this process? Ignore friction and ignore the effect of gravity on the piston.