Phase Equilibrium Chapter Review

32 Phase Equilibrium Chapter Review

Pressure definition

P = \frac{F}{A}

$P=\frac{F}{A}$

Calculating pressure using a manometer

P = P_{r e f} + ρ g (h_{r e f} - h)

$P=P_{ref}+\rho g(h_{ref}-h)$

Converting gauge/absolute pressure

gauge pressure = absolute pressure - atmospheric pressure

$\text{gauge pressure}=\text{absolute pressure}-\text{atmospheric pressure}$

Temperature conversions

Celsius to Kelvin: $T (K) = T (°C) + 273.15$

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

Kelvin to Rankine:

$T (°R) = 1.8·T (K)$

Celsius to Fahrenheit: $T (°F) = 1.8·T (°C) + 32$

Reduced properties

$T_{r}=\frac{T}{T_c}$

$P_{r}=\frac{P}{P_c}$

Gibb’s Phase Rule

D F = 2 + c - π - r

$DF=2+c-\pi-r$

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} \cdot P_{s}}{n \cdot T_{s}} = \frac{V \cdot P}{n \cdot T}

$R=\frac{V_s·P_s}{n·T_s}=\frac{V·P}{n·T}$

Compressibility Factor

\frac{P V}{R T} = Z

$\frac{PV}{RT}=Z$

Antoine Equation

l o g_{10} (p^{*}) = A - \frac{B}{T + C}

$log_{10}(p^*)=A-\frac{B}{T+C}$

Raoult’s Law

p_{i} = y_{i} \cdot P = x_{i} \cdot p_{i}^{*} (T)

$p_{i}=y_{i}·P=x_{i}·p_i^*(T)$

Henry’s Law

p_{i} = y_{i} \cdot P = \frac{x_{i}}{H_{i} (T)}

$p_{i}=y_{i}·P=\frac{x_{i}}{H_{i}(T)}$

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