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Thermodynamik Formelsammlung
Di, 2015-12-29 13:02 — richard
irreversible Expansion gegen $p_a=0$:
| W | Q | $\Delta U$ | $\Delta T$ | Enthalpie $\Delta H$ | Entropie $\Delta S$ | |
| isotherm | 0 | 0 | 0 | 0 | ||
| adiabatisch | 0 | 0 | 0 | 0 |
irreversible Expansion gegen konstanten äußeren Druck $p_a=const.$:
| W | Q | $\Delta U$ | $\Delta T$ | Enthalpie $\Delta H$ | Entropie $\Delta S$ | |
| isotherm | $- p_a \Delta V$ | $p_a \Delta V$ | 0 | 0 | ||
| adiabatisch | $- p_a \Delta V$ | 0 | $- p_a \Delta V$ | $\frac {- p_a \Delta V}{C_V}$ | 0 | Isochore Abkühlung + reversible isotherme Expansion: $C_V ln \frac{T_2}{T_1} +$ $n \cdot R \cdot ln \left( \frac{V_2}{V_1} \right)$ |
reversible Expansion oder Kompression:
| W | Q | $\Delta U$ | $\Delta T$ | Enthalpie $\Delta H$ | Entropie $\Delta S$ | |
| isotherm | $- n R T ln \left( \frac{V_E}{V_A} \right)$ | $n R T ln \left( \frac{V_E}{V_A} \right)$ | 0 | 0 | 0 | $n \cdot R \cdot ln \left( \frac{V_2}{V_1} \right)$ |
| adiabatisch | $C_V \Delta T$ | 0 | $C_V \Delta T$ | $\left( \sqrt [c] { \frac {V_A}{V_E} } -1 \right) \cdot T_A$ mit $c=\frac{C_{v,m}}{R}$ | $\Delta U +$ $(p_2 V_2 - p_1 V_1)$ | 0 |
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