
26 The Principles of Thermodynamics
heat at constant volume being equal to X
V
267
, it is the same for all ideal gases at a
given temperature, and is independent of the density.
Introduction of symbolic manipulation already makes the above arguments,
though correct, more transparent. Let us, for ease of presentation, consider one mole
of a gas. The heating at constant pressure, leading to an increase of temperature by
1
◦
C, and the adiabatic compression for air also leading to an elevation of the tem-
perature by 1
◦
C can be described by the simple equations
Q(P,V +
V
267
,1) −Q(P,V, 0) = C
P
Q(P
,V −
V
116
,1) = Q(P,V,0) (1.22)
The heating by one degree at constant ...