3.11: Phase Equilibrium Chapter Review

Foundations of Chemical and Biological Engineering I · LibreTexts

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    Important Equations

    Pressure definition \(P=\frac{F}{A}\)
    Calculating pressure using a manometer \(P=P_{ref}+\rho g(h_{ref}-h)\)
    Converting gauge/absolute pressure \(\text{gauge pressure}=\text{absolute pressure}-\text{atmospheric pressure}\)
    Temperature conversions

    \[T (K) = T (°C) + 273.15\]

    Fahrenheit to Rankine: \(T (°R) = T (°F) + 459.67\)

    Kelvin to Rankine:

    \[T (°R) = 1.8·T (K)\]

    \[T (°F) = 1.8·T (°C) + 32\]
    Reduced properties

    \[T_{r}=\frac{T}{T_c}\]

    \[P_{r}=\frac{P}{P_c}\]
    Gibb’s Phase Rule \(DF=2+c-\pi-r\)
    Ideal Gas Law

    \[PV=nRT\]

    \[P\hat{V}=RT\]
    Dalton’s Law

    \[P=\sum^n_{i}p_{i}\]

    \[p_{A}=y_{A}P\]
    Amgat’s Law

    \[V=\sum^n_{i}v_{i}\]

    \[v_{A}=y_{A}V\]
    Relating ideal gas properties \(R=\frac{V_s·P_s}{n·T_s}=\frac{V·P}{n·T}\)
    Compressibility Factor \(\frac{PV}{RT}=Z\)
    Antoine Equation \(log_{10}(p^*)=A-\frac{B}{T+C}\)
    Raoult’s Law \(p_{i}=y_{i}·P=x_{i}·p_i^*(T)\)
    Henry’s Law \(p_{i}=y_{i}·P=\frac{x_{i}}{H_{i}(T)}\)

    Terms to know

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