PCRT.I.G.03

PCRT.I.G

03 (N,V,T)-Koordinatensystem

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

PCRT.I.G.03

03 (N,V,T)-Koordinatensystem

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