{"id":1753,"date":"2020-07-02T13:02:09","date_gmt":"2020-07-02T17:02:09","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/chbe220\/?post_type=chapter&p=1753"},"modified":"2020-08-11T17:41:48","modified_gmt":"2020-08-11T21:41:48","slug":"phase-equilibrium-chapter-review","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/chbe220\/chapter\/phase-equilibrium-chapter-review\/","title":{"raw":"Phase Equilibrium Chapter Review","rendered":"Phase Equilibrium Chapter Review"},"content":{"raw":"

Important Equations<\/h2>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Pressure definition<\/td>\r\n[latex]P=\\frac{F}{A}[\/latex]<\/td>\r\n<\/tr>\r\n
Calculating pressure using a manometer<\/td>\r\n[latex]P=P_{ref}+\\rho g(h_{ref}-h)[\/latex]<\/td>\r\n<\/tr>\r\n
Converting gauge\/absolute pressure<\/td>\r\n[latex]\\text{gauge pressure}=\\text{absolute pressure}-\\text{atmospheric pressure}[\/latex]<\/td>\r\n<\/tr>\r\n
Temperature conversions<\/td>\r\n\r\n

Celsius to Kelvin:[latex]T (K) = T (\u00b0C) + 273.15[\/latex]<\/span><\/p>\r\n

Fahrenheit to Rankine: [latex]T (\u00b0R) = T (\u00b0F) + 459.67[\/latex]<\/p>\r\n

Kelvin to Rankine:<\/p>\r\n

[latex]T (\u00b0R) = 1.8\u00b7T (K)[\/latex]<\/span><\/p>\r\n

Celsius to Fahrenheit: [latex]T (\u00b0F) = 1.8\u00b7T (\u00b0C) + 32[\/latex]<\/span><\/p>\r\n<\/td>\r\n<\/tr>\r\n

Reduced properties<\/td>\r\n\r\n

[latex]T_{r}=\\frac{T}{T_c}[\/latex]<\/p>\r\n

[latex]P_{r}=\\frac{P}{P_c}[\/latex]<\/p>\r\n<\/td>\r\n<\/tr>\r\n

Gibb's Phase Rule<\/td>\r\n[latex]DF=2+c-\\pi-r[\/latex]<\/td>\r\n<\/tr>\r\n
Ideal Gas Law<\/td>\r\n\r\n

[latex]PV=nRT[\/latex]<\/p>\r\n

[latex]P\\hat{V}=RT[\/latex]<\/p>\r\n<\/td>\r\n<\/tr>\r\n

Dalton's Law<\/td>\r\n\r\n

[latex]P=\\sum^n_{i}p_{i}[\/latex]<\/p>\r\n

[latex]p_{A}=y_{A}P[\/latex]<\/p>\r\n<\/td>\r\n<\/tr>\r\n

Amgat's Law<\/td>\r\n\r\n

[latex]V=\\sum^n_{i}v_{i}[\/latex]<\/p>\r\n

[latex]v_{A}=y_{A}V[\/latex]<\/p>\r\n<\/td>\r\n<\/tr>\r\n

Relating ideal gas properties<\/td>\r\n[latex]R=\\frac{V_s\u00b7P_s}{n\u00b7T_s}=\\frac{V\u00b7P}{n\u00b7T}[\/latex]<\/td>\r\n<\/tr>\r\n
Compressibility Factor<\/td>\r\n[latex]\\frac{PV}{RT}=Z[\/latex]<\/td>\r\n<\/tr>\r\n
Antoine Equation<\/td>\r\n[latex]log_{10}(p^*)=A-\\frac{B}{T+C}[\/latex]<\/td>\r\n<\/tr>\r\n
Raoult's Law<\/td>\r\n[latex]p_{i}=y_{i}\u00b7P=x_{i}\u00b7p_i^*(T)[\/latex]<\/td>\r\n<\/tr>\r\n
Henry's Law<\/td>\r\n[latex]p_{i}=y_{i}\u00b7P=\\frac{x_{i}}{H_{i}(T)}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Terms to know<\/h2>\r\n[h5p id=\"8\"]","rendered":"

Important Equations<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Pressure definition<\/td>\n[latex]P=\\frac{F}{A}[\/latex]<\/td>\n<\/tr>\n
Calculating pressure using a manometer<\/td>\n[latex]P=P_{ref}+\\rho g(h_{ref}-h)[\/latex]<\/td>\n<\/tr>\n
Converting gauge\/absolute pressure<\/td>\n[latex]\\text{gauge pressure}=\\text{absolute pressure}-\\text{atmospheric pressure}[\/latex]<\/td>\n<\/tr>\n
Temperature conversions<\/td>\n\n

Celsius to Kelvin:[latex]T (K) = T (\u00b0C) + 273.15[\/latex]<\/span><\/p>\n

Fahrenheit to Rankine: [latex]T (\u00b0R) = T (\u00b0F) + 459.67[\/latex]<\/p>\n

Kelvin to Rankine:<\/p>\n

[latex]T (\u00b0R) = 1.8\u00b7T (K)[\/latex]<\/span><\/p>\n

Celsius to Fahrenheit: [latex]T (\u00b0F) = 1.8\u00b7T (\u00b0C) + 32[\/latex]<\/span><\/p>\n<\/td>\n<\/tr>\n

Reduced properties<\/td>\n\n

[latex]T_{r}=\\frac{T}{T_c}[\/latex]<\/p>\n

[latex]P_{r}=\\frac{P}{P_c}[\/latex]<\/p>\n<\/td>\n<\/tr>\n

Gibb’s Phase Rule<\/td>\n[latex]DF=2+c-\\pi-r[\/latex]<\/td>\n<\/tr>\n
Ideal Gas Law<\/td>\n\n

[latex]PV=nRT[\/latex]<\/p>\n

[latex]P\\hat{V}=RT[\/latex]<\/p>\n<\/td>\n<\/tr>\n

Dalton’s Law<\/td>\n\n

[latex]P=\\sum^n_{i}p_{i}[\/latex]<\/p>\n

[latex]p_{A}=y_{A}P[\/latex]<\/p>\n<\/td>\n<\/tr>\n

Amgat’s Law<\/td>\n\n

[latex]V=\\sum^n_{i}v_{i}[\/latex]<\/p>\n

[latex]v_{A}=y_{A}V[\/latex]<\/p>\n<\/td>\n<\/tr>\n

Relating ideal gas properties<\/td>\n[latex]R=\\frac{V_s\u00b7P_s}{n\u00b7T_s}=\\frac{V\u00b7P}{n\u00b7T}[\/latex]<\/td>\n<\/tr>\n
Compressibility Factor<\/td>\n[latex]\\frac{PV}{RT}=Z[\/latex]<\/td>\n<\/tr>\n
Antoine Equation<\/td>\n[latex]log_{10}(p^*)=A-\\frac{B}{T+C}[\/latex]<\/td>\n<\/tr>\n
Raoult’s Law<\/td>\n[latex]p_{i}=y_{i}\u00b7P=x_{i}\u00b7p_i^*(T)[\/latex]<\/td>\n<\/tr>\n
Henry’s Law<\/td>\n[latex]p_{i}=y_{i}\u00b7P=\\frac{x_{i}}{H_{i}(T)}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Terms to know<\/h2>\n
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