The literature has revealed that many students encounter substantial difficulties in applying the first law of thermodynamics. For example, university students sometimes fail to recognize that heat and work are independent means of energy transfer.1 When discussing adiabatic processes for an ideal gas, few students can correctly refer to the concept of “work” to justify a change in temperature.1 Some students adopt the notion that “collisions between molecules produce heat” to explain the rise in temperature for an adiabatic compression process.2 When explaining processes entailing temperature variation, students tend to adopt the ideal‐gas law.1,2 Although most university students have acquired a reasonable grasp of the state‐function concept, which is valid for variation of internal energy, they fail to grasp the concept that work depends not only on the states but also the processes. Thus, they are unable to use the first law effectively.3 In order to help students comprehend the meaning, usages, and value of the first law, and to realize that the ideal‐gas law itself is insufficient to analyze many real‐life examples, this paper introduces four examples, some of which can be demonstrated in the classroom. The examples have been devised and gradually modified over a period of several years based on implementation in a calculus‐based introductory physics course. Details of when, how, and why each example is adopted, along with the students' pitfalls, are described below.

1.
M. E.
Loverude
,
C. H.
Kautz
, and
P. 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
(
2
),
137
148
(
2002
).
2.
S.
Rozier
and
L.
Viennot
, “
Students' reasoning in thermodynamics
,”
Int. J. Sci. Educ.
13
,
159
170
(
1991
).
3.
D. E.
Meltzer
, “
Investigation of students' reasoning regarding heat, work, and the first law of thermodynamics in an introductory calculus‐based general physics course
,”
Am. J. Phys.
72
,
1432
1446
(
2004
).
4.
Some students might regard white “smoke” as an indication of heating, i.e., smoke due to heating. Thus, instructors need to explicitly link the smoke (cloud) to cooling.
5.
The author's finding is consistent with Loverude et al.'s (see Ref. 1) and Rozier and Viennot's (see Ref. 2) studies.
6.
C. H.
Haynm
and
S. C.
Baird
, “
Adiabatic compression in a fire syringe
,”
Phys. Teach.
23
,
101
102
(
1985
).
7.
The problem was adopted in the 2008 final examination, without prior instruction. Among the 113 first‐year engineering students taught by the author, the percentages of correct responses in each sub‐question were: (a) 38%, (b) 42%, of which 11% misused V ∝ 1/ P (isothermal process) in (b).
8.
M. C.
Buncick
,
P. G.
Betts
, and
D. D.
Horgan
, “
Using demonstrations as a contextual road map: Enhancing course continuity and promoting active engagement in introductory college physics
,”
Int. J. Sci. Educ.
23
(
12
),
1237
1255
(
2001
).
9.
C.
Crouch
,
A. P.
Fagen
,
J. P.
Callan
, and
E.
Mazur
, “
Classroom demonstrations: Learning tools or entertainment?
Am. J. Phys.
72
,
835
838
(
2004
).
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