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A cylindrical canister fitted with a piston at one end contains an ideal gas and floats...

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 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 3.24 L . The canister is lowered into the lake until it is 12.0 m below the surface, where the temperature is 280 K. Ignore friction and ignore the effect of gravity on the piston.

What is the change in entropy of the gas during this process?

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Answer #1

the change in entropy of the gas = 3/2N * ln(Tf/Ti) + N * ln(Vf/Vi)

                                                     = 3/2 * ln(300/280) * 5.34 + 5.34 * ln(3.76)

= 7.625 J/K

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