The definitions of reversible processes given in introductory physics books are found to be vague and misleading. An operational definition suitable for introductory texts is presented that avoids these problems. It stresses that to properly describe reversible processes, the second law of thermodynamics must be used. The constancy of entropy, which defines a reversible process, also distinguishes reversible processes from quasi-static processes.

1.
R.
Resnick
,
D.
Halliday
, and
K.
Krane
,
Physics
(
Wiley
, New York,
2002
), Vol.
1
, 5th ed., p.
546
.
2.
H.
Young
and
R.
Freedman
,
Sears and Zemansky’s University Physics
(
Addison-Wesley
, New York,
2004
), 11th ed., p.
755
.
3.
D.
Giancoli
,
Physics for Scientists and Engineers
(
Prentice Hall
, Upper Saddle River, New Jersey,
2000
), 3rd ed., p.
520
.
4.
M.
Zemansky
and
R.
Dittman
,
Heat and Thermodynamics, An Intermediate Textbook
(
McGraw-Hill
, Singapore,
1981
), p.
159
. Zemansky and Dittman do include a clearer definition of a reversible process on p. 188: “When a reversible process is performed, the entropy of the universe remains unchanged.”
5.
The irrelevance of energy conservation for the definition of a reversible process also holds true of other conserved quantities, as is clear in the abstract formulation of thermodynamics expounded by
H.
Callen
in
Thermodynamics and an Introduction to Thermostatistics
(
Wiley
, New York, 1960), p.
63
.
6.
John S.
Thomsen
, “
Thermodynamics of an irreversible quasi-static process
,”
Am. J. Phys.
28
,
119
122
(
1960
).
7.
Rudolf
Clausius
, “
Ueber die bewegende Kraft der Wärme
,”
Ann. Phys. Chem.
79
,
368
397
(
1850
);
Rudolf
Clausius
, “
Ueber die bewegende Kraft der Wärme
,”
Ann. Phys. Chem.
79
,
500
524
(
1850
);
English translation in
Philos. Mag.
2
,
1
21
(
1851
);
English translation in
Philos. Mag.
2
,
102
119
(
1851
).
8.

The Kelvin–Planck statement of the second law of thermodynamics states that, “No device is possible whose sole effect is to transform a given amount of heat completely into work,” as presented in Ref. 3, p. 520.

9.

The Clausius statement of the second law of thermodynamics states that, “Heat flows naturally from a hot object to a cold object; heat will not flow spontaneously from a cold object to a hot object,” as presented in Ref. 3, p. 517.

10.
Marvin C.
Tobin
, “
Engine efficiencies and the second law of thermodynamics
,”
Am. J. Phys.
37
,
1115
1117
(
1969
).
11.

Note that the term adiabatic is used with different meanings in different parts of physics. In the Carnot cycle, adiabatic implies the absence of heat exchange with the environment.

12.
L.
Landau
and
E.
Lifshitz
,
Statistical Physics, Part I
(
Pergamon
, Oxford,
1980
), 3rd ed., p.
33
.
13.
M. G.
Calkin
and
D.
Kiang
, “
Entropy change and reversibility
,”
Am. J. Phys.
51
,
78
79
(
1983
).
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.