A cylinder contains one liter of air at room temperature (300 K) and atmospheric pressure (105 N/m2). At one end of the cylinder is a massless piston, whose surface area is 0.01 m2 . Suppose that you push the piston in very suddenly, exerting a force of 2000 N. The piston moves only one millimeter, before it is stopped by an immovable barrier of some sort. Use the thermodynamic identity to calculate the change in the entropy of the gas (once it has again reached equilibrium)

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