PCRT.I.G.01

PCRT.I.G

01 (N,V,S)-Koordinatensystem

$d Q_{N}$	$=$	$d Q_{V, N} + d Q_{S, N}$	$d Q_{N} (V, S), d Q_{V, N} (S), d Q_{S, N} (V)$
$d Q_{V, N}$	$=$	$d U_{V, N}$	$d U_{V, N} (S)$
$d Q_{S, N}$	$=$	$0$
$d W_{N}$	$=$	$d W_{V, N} + d W_{S, N}$	$d W_{N} (V, S), d W_{V, N} (S), d W_{S, N} (V)$
$d W_{V, N}$	$=$	$0$
$d W_{S, N}$	$=$	$d U_{S, N}$	$d U_{S, N} (V)$
$d U_{N}$	$=$	$d U_{V, N} + d U_{S, N}$
$U$	$=$	$\frac{3}{2} n R T_{0} {(\frac{V_{0}}{V})}^{2 / 3} \exp (\frac{2}{3} \frac{S - S_{0}}{n R})$	$U (N, V, S)$
$Q_{V 1, N} (S_{2}, S_{1})$	$=$	$+ \frac{3}{2} n R T_{0} {(\frac{V_{0}}{V_{1}})}^{2 / 3} [\exp (\frac{2}{3} \frac{S_{2}}{n R}) - \exp (\frac{2}{3} \frac{S_{1}}{n R})]$	$(V, S : V_{1} S_{1} \to V_{1} S_{2}), d N = 0$
$W_{S 2, N} (V_{2}, V_{1})$	$=$	$+ \frac{3}{2} n R T_{0} [{(\frac{V_{0}}{V_{2}})}^{2 / 3} - {(\frac{V_{0}}{V_{1}})}^{2 / 3}] \exp (\frac{2}{3} \frac{S_{2} - S_{0}}{n R})$	$(V, S : V_{1} S_{2} \to V_{2} S_{2}), d N = 0$
$Q_{V 2, N} (S_{1}, S_{2})$	$=$	$+ \frac{3}{2} n R T_{0} {(\frac{V_{0}}{V_{2}})}^{2 / 3} [\exp (\frac{2}{3} \frac{S_{1}}{n R}) - \exp (\frac{2}{3} \frac{S_{2}}{n R})]$	$(V, S : V_{2} S_{2} \to V_{2} S_{1}), d N = 0$
$W_{S 1, N} (V_{1}, V_{2})$	$=$	$+ \frac{3}{2} n R T_{0} [{(\frac{V_{0}}{V_{1}})}^{2 / 3} - {(\frac{V_{0}}{V_{2}})}^{2 / 3}] \exp (\frac{2}{3} \frac{S_{1} - S_{0}}{n R})$	$(V, S : V_{2} S_{1} \to V_{1} S_{1}), d N = 0$
$0$	$=$	$Q_{V 1, N} (S_{2}, S_{1}) + W_{S 2, N} (V_{2}, V_{1})$
		$+ Q_{V 2, N} (S_{1}, S_{2}) + W_{S 1, N} (V_{1}, V_{2})$	$(V S : 11 \to 12 \to 22 \to 21 \to 11), d N = 0$
$Q_{N}$	$=$	$Q_{N} (\to) + Q_{N} (\leftarrow)$
	$=$	$+ \frac{3}{2} n R T_{0} [{(\frac{V_{0}}{V_{1}})}^{2 / 3} - {(\frac{V_{0}}{V_{2}})}^{2 / 3}]$
		$\times [\exp (\frac{2}{3} \frac{S_{2}}{n R}) - \exp (\frac{2}{3} \frac{S_{1}}{n R})]$	$(V S : 11 \to 12 \to 22 \to 21 \to 11), d N = 0$
$W_{N}$	$=$	$W_{N} (\leftarrow) + W_{N} (\to)$
	$=$	$- \frac{3}{2} n R T_{0} [{(\frac{V_{0}}{V_{1}})}^{2 / 3} - {(\frac{V_{0}}{V_{2}})}^{2 / 3}]$
		$\times [\exp (\frac{2}{3} \frac{S_{2}}{n R}) - \exp (\frac{2}{3} \frac{S_{1}}{n R})]$	$(V S : 11 \to 12 \to 22 \to 21 \to 11), d N = 0$

PCRT.I.G.01

01 (N,V,S)-Koordinatensystem

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