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Is it possible to compress an ideal gas isothermally in an adiabatic piston-cylinder device? Hint-start with...

Is it possible to compress an ideal gas isothermally in an adiabatic piston-cylinder device? Hint-start with an energy conservation equation
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Answer #1

Solution.

The law of energy conservation is

The adiabatic  piston-cylinder device implies that Q = 0.

Therefore, .

It means that all the work done by a compression goes to the change of the internal energy.

For an ideal gas the change in internal energy is

as the process is isothermal.

As a result, W = 0, or no work should be done due to the compression. Therefore, it is not possible to compress an ideal gas isothermally in an adiabatic piston-cylinder device.

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