CPRT.I.A
[ Bearbeiten ] Die Energie
E
N
{\displaystyle E_{N}}
(
d
N
=
0
)
{\displaystyle (dN=0)}
d
Q
=
T
d
S
{\displaystyle dQ=T\,dS}
d
W
=
−
p
d
V
{\displaystyle dW=-\,p\,dV}
T
=
T
S
=
T
U
{\displaystyle T=T_{S}=T_{U}}
(
d
S
>
0
)
{\displaystyle (dS>0)}
p
=
p
S
=
p
U
{\displaystyle p=p_{S}=p_{U}}
(
−
d
V
>
0
)
{\displaystyle (-\,dV>0)}
(
01
)
{\displaystyle (01)\qquad \qquad \qquad \qquad \qquad }
d
E
N
{\displaystyle dE_{N}}
=
{\displaystyle =}
+
{\displaystyle +}
d
Q
{\displaystyle dQ}
+
{\displaystyle +}
d
W
{\displaystyle dW}
(
02
)
{\displaystyle (02)\qquad \qquad \qquad \qquad \qquad }
d
E
N
(
S
,
V
)
{\displaystyle dE_{N}(S,V)}
=
{\displaystyle =}
+
{\displaystyle +}
T
d
S
{\displaystyle T\,dS}
−
{\displaystyle -}
p
d
V
{\displaystyle p\,dV}
Beim teilchenoffenen
d
N
≠
0
{\displaystyle dN\neq 0}
d
E
S
,
V
(
N
)
=
μ
d
N
{\displaystyle dE_{S,V}(N)=\mu \,dN}
d
N
>
0
{\displaystyle dN>0}
μ
=
μ
S
=
μ
U
{\displaystyle \mu =\mu _{S}=\mu _{U}}
(
01
)
{\displaystyle (01)\qquad \qquad \qquad \qquad \qquad }
d
E
(
S
,
V
,
N
)
{\displaystyle dE(S,V,N)}
=
{\displaystyle =}
+
{\displaystyle +}
T
d
S
{\displaystyle T\,dS}
−
{\displaystyle -}
p
d
V
{\displaystyle p\,dV}
+
{\displaystyle +}
μ
d
N
{\displaystyle \mu \,dN}
