Zum Inhalt springen
Hauptmenü
Hauptmenü
In die Seitenleiste verschieben
Verbergen
Navigation
Hauptseite
Aktuelles
Buchkatalog
Alle Bücher
Bücherregale
Zufälliges Kapitel
Datei hochladen
Mitmachen
Wikibooks-Portal
Letzte Änderungen
Hilfe
Verbesserungen
Administratoren
Logbücher
Spenden
Suche
Suchen
Erscheinungsbild
Benutzerkonto erstellen
Anmelden
Meine Werkzeuge
Benutzerkonto erstellen
Anmelden
Seiten für abgemeldete Benutzer
Weitere Informationen
Beiträge
Diskussionsseite
Inhaltsverzeichnis
In die Seitenleiste verschieben
Verbergen
Anfang
1
01 (N,V,S)-Koordinatensystem
Inhaltsverzeichnis umschalten
PCRT.I.G.01
Sprachen hinzufügen
Links hinzufügen
Kapitel
Diskussion
Deutsch
Lesen
Bearbeiten
Versionsgeschichte
Werkzeuge
Werkzeuge
In die Seitenleiste verschieben
Verbergen
Aktionen
Lesen
Bearbeiten
Versionsgeschichte
Allgemein
Links auf diese Seite
Änderungen an verlinkten Seiten
Spezialseiten
Permanenter Link
Seiteninformationen
Seite zitieren
Gekürzte URL abrufen
QR-Code runterladen
Drucken/exportieren
Buch erstellen
Als PDF herunterladen
Druckversion
In anderen Projekten
Erscheinungsbild
In die Seitenleiste verschieben
Verbergen
Aus Wikibooks
PCRT.I.G
01 (N,V,S)-Koordinatensystem
[
Bearbeiten
]
{\displaystyle \qquad \qquad }
d
Q
N
{\displaystyle dQ_{N}}
=
{\displaystyle =}
d
Q
V
,
N
+
d
Q
S
,
N
{\displaystyle dQ_{V,N}+dQ_{S,N}}
d
Q
N
(
V
,
S
)
,
d
Q
V
,
N
(
S
)
,
d
Q
S
,
N
(
V
)
{\displaystyle \qquad dQ_{N}(V,S),\,dQ_{V,N}(S),\,dQ_{S,N}(V)\qquad }
{\displaystyle \qquad \qquad }
d
Q
V
,
N
{\displaystyle dQ_{V,N}}
=
{\displaystyle =}
d
U
V
,
N
{\displaystyle dU_{V,N}}
d
U
V
,
N
(
S
)
{\displaystyle \qquad dU_{V,N}(S)\qquad }
{\displaystyle \qquad \qquad }
d
Q
S
,
N
{\displaystyle dQ_{S,N}}
=
{\displaystyle =}
0
{\displaystyle 0}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
d
W
N
{\displaystyle dW_{N}}
=
{\displaystyle =}
d
W
V
,
N
+
d
W
S
,
N
{\displaystyle dW_{V,N}+dW_{S,N}}
d
W
N
(
V
,
S
)
,
d
W
V
,
N
(
S
)
,
d
W
S
,
N
(
V
)
{\displaystyle \qquad dW_{N}(V,S),\,dW_{V,N}(S),\,dW_{S,N}(V)\qquad }
{\displaystyle \qquad \qquad }
d
W
V
,
N
{\displaystyle dW_{V,N}}
=
{\displaystyle =}
0
{\displaystyle 0}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
d
W
S
,
N
{\displaystyle dW_{S,N}}
=
{\displaystyle =}
d
U
S
,
N
{\displaystyle dU_{S,N}}
d
U
S
,
N
(
V
)
{\displaystyle \qquad dU_{S,N}(V)\qquad }
{\displaystyle \qquad \qquad }
d
U
N
{\displaystyle dU_{N}}
=
{\displaystyle =}
d
U
V
,
N
+
d
U
S
,
N
{\displaystyle dU_{V,N}+dU_{S,N}}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
U
{\displaystyle U}
=
{\displaystyle =}
3
2
n
R
T
0
(
V
0
V
)
2
/
3
exp
(
2
3
S
−
S
0
n
R
)
{\displaystyle {\frac {3}{2}}\,n\,R\,T_{0}\,\left({\frac {V_{0}}{V}}\right)^{2/3}\,\exp \left({\frac {2}{3}}{\frac {S-S_{0}}{n\,R}}\right)}
U
(
N
,
V
,
S
)
{\displaystyle \qquad U(N,V,S)\qquad }
{\displaystyle \qquad \qquad }
Q
V
1
,
N
(
S
2
,
S
1
)
{\displaystyle Q_{V1,N}(S_{2},S_{1})}
=
{\displaystyle =}
+
3
2
n
R
T
0
(
V
0
V
1
)
2
/
3
[
exp
(
2
3
S
2
n
R
)
−
exp
(
2
3
S
1
n
R
)
]
{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}\,\left[\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)\right]}
(
V
,
S
:
V
1
S
1
→
V
1
S
2
)
,
d
N
=
0
{\displaystyle \qquad (V,S:V_{1}S_{1}\to V_{1}S_{2}),\,dN=0\qquad }
{\displaystyle \qquad \qquad }
W
S
2
,
N
(
V
2
,
V
1
)
{\displaystyle W_{S2,N}(V_{2},V_{1})}
=
{\displaystyle =}
+
3
2
n
R
T
0
[
(
V
0
V
2
)
2
/
3
−
(
V
0
V
1
)
2
/
3
]
exp
(
2
3
S
2
−
S
0
n
R
)
{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}\right]\,\exp \left({\frac {2}{3}}{\frac {S_{2}-S_{0}}{n\,R}}\right)}
(
V
,
S
:
V
1
S
2
→
V
2
S
2
)
,
d
N
=
0
{\displaystyle \qquad (V,S:V_{1}S_{2}\to V_{2}S_{2}),\,dN=0\qquad }
{\displaystyle \qquad \qquad }
Q
V
2
,
N
(
S
1
,
S
2
)
{\displaystyle Q_{V2,N}(S_{1},S_{2})}
=
{\displaystyle =}
+
3
2
n
R
T
0
(
V
0
V
2
)
2
/
3
[
exp
(
2
3
S
1
n
R
)
−
exp
(
2
3
S
2
n
R
)
]
{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\,\left[\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)\right]}
(
V
,
S
:
V
2
S
2
→
V
2
S
1
)
,
d
N
=
0
{\displaystyle \qquad (V,S:V_{2}S_{2}\to V_{2}S_{1}),\,dN=0\qquad }
{\displaystyle \qquad \qquad }
W
S
1
,
N
(
V
1
,
V
2
)
{\displaystyle W_{S1,N}(V_{1},V_{2})}
=
{\displaystyle =}
+
3
2
n
R
T
0
[
(
V
0
V
1
)
2
/
3
−
(
V
0
V
2
)
2
/
3
]
exp
(
2
3
S
1
−
S
0
n
R
)
{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\right]\,\exp \left({\frac {2}{3}}{\frac {S_{1}-S_{0}}{n\,R}}\right)}
(
V
,
S
:
V
2
S
1
→
V
1
S
1
)
,
d
N
=
0
{\displaystyle \qquad (V,S:V_{2}S_{1}\to V_{1}S_{1}),\,dN=0\qquad }
{\displaystyle \qquad \qquad }
0
{\displaystyle 0}
=
{\displaystyle =}
Q
V
1
,
N
(
S
2
,
S
1
)
+
W
S
2
,
N
(
V
2
,
V
1
)
{\displaystyle Q_{V1,N}(S_{2},S_{1})+W_{S2,N}(V_{2},V_{1})}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
{\displaystyle }
{\displaystyle }
+
Q
V
2
,
N
(
S
1
,
S
2
)
+
W
S
1
,
N
(
V
1
,
V
2
)
{\displaystyle +\,Q_{V2,N}(S_{1},S_{2})+W_{S1,N}(V_{1},V_{2})}
(
V
S
:
11
→
12
→
22
→
21
→
11
)
,
d
N
=
0
{\displaystyle \qquad (VS:11\to 12\to 22\to 21\to 11),\,dN=0\qquad }
{\displaystyle \qquad \qquad }
Q
N
{\displaystyle Q_{N}}
=
{\displaystyle =}
Q
N
(
→
)
+
Q
N
(
←
)
{\displaystyle Q_{N}(\rightarrow )+Q_{N}(\leftarrow )}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
{\displaystyle }
=
{\displaystyle =}
+
3
2
n
R
T
0
[
(
V
0
V
1
)
2
/
3
−
(
V
0
V
2
)
2
/
3
]
{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\right]}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
{\displaystyle }
{\displaystyle }
×
[
exp
(
2
3
S
2
n
R
)
−
exp
(
2
3
S
1
n
R
)
]
{\displaystyle \times \left[\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)\right]}
(
V
S
:
11
→
12
→
22
→
21
→
11
)
,
d
N
=
0
{\displaystyle \qquad (VS:11\to 12\to 22\to 21\to 11),\,dN=0\qquad }
{\displaystyle \qquad \qquad }
W
N
{\displaystyle W_{N}}
=
{\displaystyle =}
W
N
(
←
)
+
W
N
(
→
)
{\displaystyle W_{N}(\leftarrow )+W_{N}(\rightarrow )}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
{\displaystyle }
=
{\displaystyle =}
−
3
2
n
R
T
0
[
(
V
0
V
1
)
2
/
3
−
(
V
0
V
2
)
2
/
3
]
{\displaystyle -\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\right]}
{\displaystyle \qquad \qquad }
{\displaystyle \qquad \qquad }
{\displaystyle }
{\displaystyle }
×
[
exp
(
2
3
S
2
n
R
)
−
exp
(
2
3
S
1
n
R
)
]
{\displaystyle \times \left[\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)\right]}
(
V
S
:
11
→
12
→
22
→
21
→
11
)
,
d
N
=
0
{\displaystyle \qquad (VS:11\to 12\to 22\to 21\to 11),\,dN=0\qquad }
![{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}\,\left[\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bb39cd2fcbe5b3a7e14d109e66d6c73988a70c22)
![{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}\right]\,\exp \left({\frac {2}{3}}{\frac {S_{2}-S_{0}}{n\,R}}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/13c13929df76d6d0b68cc9872b0870e455fcae25)
![{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\,\left[\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/478dcb5fcc89506f0c442de2fea8a9737bf00773)
![{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\right]\,\exp \left({\frac {2}{3}}{\frac {S_{1}-S_{0}}{n\,R}}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/661c95c1c4a6b7bc9f521166e56961cb72a6682e)
![{\displaystyle +\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9a0e5f1df5b8a71ead7ae49db97e07b0ea808e33)
![{\displaystyle \times \left[\exp \left({\frac {2}{3}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{3}}{\frac {S_{1}}{n\,R}}\right)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/37c2b975705ab7a8922b20568de80d8dc01e6a49)
![{\displaystyle -\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {V_{0}}{V_{1}}}\right)^{2/3}-\,\left({\frac {V_{0}}{V_{2}}}\right)^{2/3}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d20226aaf81753b8d256231d7f7da07af82e8c2f)
