PCRT/I/d0ab

< Anhang A2: Formelsammlung Kreisprozesse - PCRT/I/df3a

02 (N,p,S)-Koordinatensystem

$\qquad \qquad$	$dQ_{N}$	$=$	$dQ_{p,N}+dQ_{S,N}$	$\qquad dQ_{N}(p,S),\,dQ_{p,N}(S),\,dQ_{S,N}(p)\qquad$
$\qquad \qquad$	$dQ_{p,N}$	$=$	$dH_{p,N}$	$\qquad dH_{p,N}(S)\qquad$
$\qquad \qquad$	$dQ_{S,N}$	$=$	$0$	$\qquad \qquad$
$\qquad \qquad$	$dW_{N}$	$=$	$dW_{p,N}+dW_{S,N}$	$\qquad dW_{N}(p,S),\,dW_{p,N}(S),\,dW_{S,N}(p)\qquad$
$\qquad \qquad$	$dW_{p,N}$	$=$	$dU_{p,N}-dH_{p,N}$	$\qquad dU_{p,N}(S)\qquad$
$\qquad \qquad$	$dW_{S,N}$	$=$	$dU_{S,N}$	$\qquad dU_{S,N}(p)\qquad$
$\qquad \qquad$	$dU_{N}$	$=$	$dU_{p,N}+dU_{S,N}$	$\qquad dU_{N}(p,S)\qquad$
$\qquad \qquad$	$H$	$=$	$+\,{\frac {5}{2}}\,n\,R\,T_{0}\,\left({\frac {p}{p_{0}}}\right)^{2/5}\,\exp \left({\frac {2}{5}}{\frac {S-S_{0}}{n\,R}}\right)$	$\qquad H(N,p,S)\qquad$
$\qquad \qquad$	$U$	$=$	$+\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left({\frac {p}{p_{0}}}\right)^{2/5}\,\exp \left({\frac {2}{5}}{\frac {S-S_{0}}{n\,R}}\right)$	$\qquad U(N,p,S)\qquad$
$\qquad \qquad$	$Q_{p1,N}(S_{2},S_{1})$	$=$	$+\,{\frac {5}{2}}\,n\,R\,T_{0}\,\left({\frac {p_{1}}{p_{0}}}\right)^{2/5}\,\left[\exp \left({\frac {2}{5}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{5}}{\frac {S_{1}}{n\,R}}\right)\right]$	$\qquad (p,S:p_{1}S_{1}\to p_{1}S_{2}),\,dN=0\qquad$
$\qquad \qquad$	$W_{p1,N}(S_{2},S_{1})$	$=$	$-\,n\,R\,T_{0}\,\left({\frac {p_{1}}{p_{0}}}\right)^{2/5}\,\left[\exp \left({\frac {2}{5}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{5}}{\frac {S_{1}}{n\,R}}\right)\right]$	$\qquad (p,S:p_{1}S_{1}\to p_{1}S_{2}),\,dN=0\qquad$
$\qquad \qquad$	$W_{S2,N}(p_{2},p_{1})$	$=$	$+\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {p_{2}}{p_{0}}}\right)^{2/5}-\,\left({\frac {p_{1}}{p_{0}}}\right)^{2/3}\right]\,\exp \left({\frac {2}{5}}{\frac {S_{2}-S_{0}}{n\,R}}\right)$	$\qquad (p,S:p_{1}S_{2}\to p_{2}S_{2}),\,dN=0\qquad$
$\qquad \qquad$	$Q_{p2,N}(S_{1},S_{2})$	$=$	$+\,{\frac {5}{2}}\,n\,R\,T_{0}\,\left({\frac {p_{2}}{p_{0}}}\right)^{2/5}\,\left[\exp \left({\frac {2}{5}}{\frac {S_{1}}{n\,R}}\right)-\,\exp \left({\frac {2}{5}}{\frac {S_{2}}{n\,R}}\right)\right]$	$\qquad (p,S:p_{2}S_{2}\to p_{2}S_{1}),\,dN=0\qquad$
$\qquad \qquad$	$W_{p2,N}(S_{1},S_{2})$	$=$	$-\,n\,R\,T_{0}\,\left({\frac {p_{2}}{p_{0}}}\right)^{2/5}\,\left[\exp \left({\frac {2}{5}}{\frac {S_{1}}{n\,R}}\right)-\,\exp \left({\frac {2}{5}}{\frac {S_{2}}{n\,R}}\right)\right]$	$\qquad (p,S:p_{2}S_{2}\to p_{2}S_{1}),\,dN=0\qquad$
$\qquad \qquad$	$W_{S1,N}(p_{1},p_{2})$	$=$	$+\,{\frac {3}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {p_{1}}{p_{0}}}\right)^{2/5}-\,\left({\frac {p_{2}}{p_{0}}}\right)^{2/5}\right]\,\exp \left({\frac {2}{5}}{\frac {S_{1}-S_{0}}{n\,R}}\right)$	$\qquad (p,S:p_{2}S_{1}\to p_{1}S_{1}),\,dN=0\qquad$
$\qquad \qquad$	$0$	$=$	$Q_{p1,N}(S_{2},S_{1})+W_{p1,N}(S_{2},S_{1})+W_{S2,N}(p_{2},p_{1})$	$\qquad \qquad$
$\qquad \qquad$	${\displaystyle }$	${\displaystyle }$	$+\,Q_{p2,N}(S_{1},S_{2})+\,W_{p2,N}(S_{1},S_{2})+W_{S1,N}(p_{1},p_{2})$	$\qquad (pS:11\to 12\to 22\to 21\to 11),\,dN=0\qquad$
$\qquad \qquad$	$Q_{N}$	$=$	$Q_{N}(\rightarrow )+Q_{N}(\leftarrow )$	$\qquad \qquad$
$\qquad \qquad$	${\displaystyle }$	$=$	$+\,{\frac {5}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {p_{1}}{p_{0}}}\right)^{2/5}-\left({\frac {p_{2}}{p_{0}}}\right)^{2/5}\right]$	$\qquad \qquad$
$\qquad \qquad$	${\displaystyle }$	${\displaystyle }$	$\times \,\left[\exp \left({\frac {2}{5}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{5}}{\frac {S_{1}}{n\,R}}\right)\right]$	$\qquad (pS:11\to 12\to 22\to 21\to 11),\,dN=0\qquad$
$\qquad \qquad$	$W_{N}$	$=$	$W_{N}(\leftarrow )+W_{N}(\rightarrow )$	$\qquad \qquad$
$\qquad \qquad$	${\displaystyle }$	$=$	$-\,{\frac {5}{2}}\,n\,R\,T_{0}\,\left[\left({\frac {p_{1}}{p_{0}}}\right)^{2/5}-\left({\frac {p_{2}}{p_{0}}}\right)^{2/5}\right]$	$\qquad \qquad$
$\qquad \qquad$	${\displaystyle }$	${\displaystyle }$	$\times \,\left[\exp \left({\frac {2}{5}}{\frac {S_{2}}{n\,R}}\right)-\,\exp \left({\frac {2}{5}}{\frac {S_{1}}{n\,R}}\right)\right]$	$\qquad (pS:11\to 12\to 22\to 21\to 11),\,dN=0\qquad$