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There is a well-known relationship between probability and entropy which states that Af, where **zq is the probability that state ( i.e., volume for an ideal gas ) could be reached by chance alone.

This is known as conformational entropy.

This conformational entropy is, in this case, equal to the usual entropy, for there are no other changes or other energies involved.

Note that though the ideal gas itself contains no additional energy, the compressed gas does exert an increased pressure.

The energy for any isothermal work done by the perfect gas must come as thermal energy from its surroundings.