It is shown that the determination of the mechanical equivalent of heat and the establishment of the first law are not independent of each other, and equations for the heat absorbed in a general quasi-static process which are developed without the use of the first law allow us to infer the existence of an internal energy function.

1.
Max
Born
, “
Kritische Betrachtungen zur traditionellen Darstellung der Thermodynamik
,”
Phys. Z.
22
,
218
224
(
1921
).
2.
A.
John Mallinckrodt
and
Harvey S.
Leff
, “
All about work
,”
Am. J. Phys.
60
,
356
365
(
1992
).
3.
Harvey S.
Leff
and
A.
John Mallinckrodt
, “
Stopping objects with zero external work: Mechanics meets thermodynamics
,”
Am. J. Phys.
61
,
121
127
(
1993
).
4.
Bruce Arne
Sherwood
, “
Pseudowork and real work
,”
Am. J. Phys.
51
,
597
602
(
1983
).
5.
S. G.
Canagaratna
, “
Critique of the treatment of work
,”
Am. J. Phys.
46
,
1241
1244
(
1978
).
6.
S. G.
Canagaratna
, “
Critique of the treatment of heat
,”
Am. J. Phys.
37
,
679
683
(
1969
).
7.
H. R.
Kemp
, “
Internal work: A thermodynamic treatment
,”
Am. J. Phys.
53
,
1008
(
1985
).
8.
Terrance B.
Trip
, “
The definition of heat
,”
J. Chem. Educ.
53
,
782
784
(
1976
).
9.
David Halliday, Robert Resnick and Jearl Walker, Fundamentals of Physics (Wiley, New York, 2003), 6th. ed.
10.
Raymond A. Serway and Jerry S. Faughn, College Physics (Brooks/Cole, CA, 2004), 6th. ed.
11.
Alan Giambatista, Betty McCarthy Richardson, and Robert C. Richardson, College Physics (McGraw Hill, Boston, 2004).
12.
Wolfgang Pauli, Thermodynamics and Kinetic Theory of Gases (Dover, New York, 2000).
13.
Arnold Sommerfeld, Thermodynamics and Statistical Mechanics (Academic, New York, 1964), p. 13.
14.
G. L.
Hoxton
, “
 ‘Ratio of the Specific Heats’ and Thermodynamics
,”
Am. J. Phys.
25
,
460
462
(
1957
).
15.
P. T. Landsberg, Thermodynamics (Interscience, New York, 1961), p. 39.
16.
J. G. Kirkwood and I. Oppenheim, Chemical Thermodynamics (McGraw-Hill, New York, 1961), p. 18.
17.
Mark W.
Zemansky
, “
The use and misuse of the word ‘heat’ in physics teaching
,”
Phys. Teach.
8
,
295
300
(
1970
).
18.
Michael E.
Loverude
,
Christian H.
Kautz
, and
Paula R. L.
Heron
, “
Student understanding of the first law of thermodynamics: Relating work to the adiabatic compression of an ideal gas
,”
Am. J. Phys.
70
,
137
148
(
2002
).
This content is only available via PDF.
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.