32 Phase Equilibrium Chapter Review
Important Equations
Pressure definition | [latex]P=\frac{F}{A}[/latex] |
Calculating pressure using a manometer | [latex]P=P_{ref}+\rho g(h_{ref}-h)[/latex] |
Converting gauge/absolute pressure | [latex]\text{gauge pressure}=\text{absolute pressure}-\text{atmospheric pressure}[/latex] |
Temperature conversions |
Celsius to Kelvin:[latex]T (K) = T (°C) + 273.15[/latex] Fahrenheit to Rankine: [latex]T (°R) = T (°F) + 459.67[/latex] Kelvin to Rankine: [latex]T (°R) = 1.8·T (K)[/latex] Celsius to Fahrenheit: [latex]T (°F) = 1.8·T (°C) + 32[/latex] |
Reduced properties |
[latex]T_{r}=\frac{T}{T_c}[/latex] [latex]P_{r}=\frac{P}{P_c}[/latex] |
Gibb’s Phase Rule | [latex]DF=2+c-\pi-r[/latex] |
Ideal Gas Law |
[latex]PV=nRT[/latex] [latex]P\hat{V}=RT[/latex] |
Dalton’s Law |
[latex]P=\sum^n_{i}p_{i}[/latex] [latex]p_{A}=y_{A}P[/latex] |
Amgat’s Law |
[latex]V=\sum^n_{i}v_{i}[/latex] [latex]v_{A}=y_{A}V[/latex] |
Relating ideal gas properties | [latex]R=\frac{V_s·P_s}{n·T_s}=\frac{V·P}{n·T}[/latex] |
Compressibility Factor | [latex]\frac{PV}{RT}=Z[/latex] |
Antoine Equation | [latex]log_{10}(p^*)=A-\frac{B}{T+C}[/latex] |
Raoult’s Law | [latex]p_{i}=y_{i}·P=x_{i}·p_i^*(T)[/latex] |
Henry’s Law | [latex]p_{i}=y_{i}·P=\frac{x_{i}}{H_{i}(T)}[/latex] |
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