Show that the condition for vapor-liquid equilibrium at constant N, T, and P is Gv=GL
Show that the condition for vapor-liquid equilibrium at constant N, T, and P is Gv=GL
Homework Answers
The chemical potential of the liquid phase and the vapor phase should be equal at equilibrium. This is the general criterion for phase equlibrium.
However, for a pure component the chemical potential is reduces to the pure component molar Gibbs
free energy,i.e., 
and
.
So 
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Show that the condition for vapor-liquid equilibrium at constant
N, T, and P is Gv=GL
Show that for saturated steam at 250°C, the Gibbs Free Energy (in kJ/kg) is the same for the vapor and liquid phases. (GV GL-375 kJ/kg) 6. Show that for saturated steam at 250°C, the Gibbs F...
Show that for saturated steam at 250°C, the Gibbs Free Energy (in kJ/kg) is the same for the vapor and liquid phases. (GV GL-375 kJ/kg) 6.
Show that for saturated steam at 250°C, the Gibbs Free Energy (in kJ/kg) is the same for the vapor and liquid phases. (GV GL-375 kJ/kg) 6.
Binary mixture at vapor-liquid equilibrium at constant temperature has total pressure P=1.57 bar at x1=0.3. The vapor pressures of pure components are P1=2.06 bar and P2=1.13 bar, respectively. Assume...
Binary mixture at vapor-liquid equilibrium at constant temperature has total pressure P=1.57 bar at x1=0.3. The vapor pressures of pure components are P1=2.06 bar and P2=1.13 bar, respectively. Assume that the vapor phase is ideal and the liquid phase non-ideality can be described by 1-parameter Margules equation . Calculate the total pressure and the vapor composition for this mixture at x1=0.6 at the same temperature
The vapor-liquid equilibrium for n-pentane and n-hexane at 1 ATM is well approximated using a constant...
The vapor-liquid equilibrium for n-pentane and n-hexane at 1 ATM is well approximated using a constant relative volatility of 2.95. CMO is valid. For all the problems, the feed stream is flowing at 80 mol/s and contains 45 mol% n-pentane, the feed is a saturated liquid (q = 1) at the column pressure, the distillate is 95 mol% n-pentane, and the bottoms is 10 mol% n-pentane. In this problem, you should analyze the column graphically using the McCabe-Thiele Method a....
Draw a T-v diagram of a pure substance including the liquid, vapor, and liquid/vapor region. Using...
Draw a T-v diagram of a pure substance including the liquid, vapor, and liquid/vapor region. Using this diagram, explain what happens if a saturated liquid is heated (such that the temperature rises) in a rigid (constant volume) container. Using the same diagram, explain what happens when a saturated vapor is heated (such that the temperature rises) in a rigid container.
The vapor pressure, P , of a certain liquid was measured at two temperatures, T ....
The vapor pressure, P , of a certain liquid was measured at two temperatures, T . The data is shown in the table. T(K)275 P(kPa)3.41 7 T(K)675 P(kPa)7.65 Keep the pressure units in kilopascals. If you were going to graphically determine the enthalpy of vaporizaton, Δ H vap , for this liquid, what points would you plot? To avoid rounding errors, use three significant figures in the x ‑values and four significant figures in the y ‑values.
2. The data below have been obtained for the liquid-vapor equilibrium compositions of mixtures of nitrogen (N2) a...
2. The data below have been obtained for the liquid-vapor equilibrium compositions of mixtures of nitrogen (N2) and oxygen (O2) at 100 kPa. When a liquid contains 21% O2 and 79% N2, answer the following question (a) Which one is more volatile? N2 or O2? (b) When the liquid with 21% O2 was heated at 100 kPa, at what temperature the first bubble formed? What is the concentration of O2 in the first bubble? (c) As the last drop of...
Answer and reason please! 7. When a liquid is in dynamic equilibrium with its vapor in...
Answer and reason please!
7. When a liquid is in dynamic equilibrium with its vapor in a closed container: (a) the rate at which molecules from the liquid phase enter the gas phase exactly equals the rate at which molecules from the gas phase pass into the liquid phase. (b) a change in temperature will not change the pressure in the container (c) the amount of gas in the container must exactly equal the amount of liquid. (d) molecules cannot...
figure 1 Figure 2 Liquid ethanol mm P increasing P = equilibrium vapor pressure P=0 Add...
figure 1
Figure 2
Liquid ethanol mm P increasing P = equilibrium vapor pressure P=0 Add System comes to equilibrium ethanol Evacuated flask, pressure zero Molecules begin to vaporize, pressure increases Molecules leave and enter liquid at equal rates, pressure reaches steady-state value 34.6 °C 78.3°C 100 °C Normal boiling point Diethyl ether Vapor pressure (torr) Ethyl alcohol (ethanol) Water Ethylene glycol 100 20 40 60 80 Temperature (°C) Copyright 2009 Pearson Prentice Hall,Inc. Click on: (Figure 2) and study...
A liquid placed in a closed container will evaporate until equilibrium is reached. At equilibrium, which...
A liquid placed in a closed container will evaporate until equilibrium is reached. At equilibrium, which of the following statements is false? A. The partial pressure exerted by the vapor molecules is called the vapor pressure of the liquid. B. Liquid molecules are still evaporating. C. The number of vapor molecules remains essentially constant. D. The partial pressure of the vapor is constant. E. The boundary (meniscus) between liquid and vapor disappears.
The vapor pressure, P, of a certain liquid was measured at two temperatures, T. The data...
The vapor pressure, P, of a certain liquid was measured at two temperatures, T. The data is shown in this table. T(K) P(kPa) 325 3.41 525 6.02 If you were going to graphically determine the enthalpy of vaporizaton, ?Hvap, for this liquid, what points would you plot? x y point 1 x axis in 3 significant figures and y axis in 4 significant figures _____ _______ pont 2 x axis in 3 significant figures and y axis in 4 significant figures _____ _______ Determine the rise, run, and slope...
Show that for saturated steam at 250°C, the Gibbs Free Energy (in kJ/kg) is the same for the vapor and liquid phases. (GV GL-375 kJ/kg) 6.
Show that for saturated steam at 250°C, the Gibbs Free Energy (in kJ/kg) is the same for the vapor and liquid phases. (GV GL-375 kJ/kg) 6.
Draw a T-v diagram of a pure substance including the liquid, vapor, and liquid/vapor region. Using this diagram, explain what happens if a saturated liquid is heated (such that the temperature rises) in a rigid (constant volume) container. Using the same diagram, explain what happens when a saturated vapor is heated (such that the temperature rises) in a rigid container.
2. The data below have been obtained for the liquid-vapor equilibrium compositions of mixtures of nitrogen (N2) and oxygen (O2) at 100 kPa. When a liquid contains 21% O2 and 79% N2, answer the following question (a) Which one is more volatile? N2 or O2? (b) When the liquid with 21% O2 was heated at 100 kPa, at what temperature the first bubble formed? What is the concentration of O2 in the first bubble? (c) As the last drop of...
Answer and reason please!
7. When a liquid is in dynamic equilibrium with its vapor in a closed container: (a) the rate at which molecules from the liquid phase enter the gas phase exactly equals the rate at which molecules from the gas phase pass into the liquid phase. (b) a change in temperature will not change the pressure in the container (c) the amount of gas in the container must exactly equal the amount of liquid. (d) molecules cannot...
figure 1
Figure 2
Liquid ethanol mm P increasing P = equilibrium vapor pressure P=0 Add System comes to equilibrium ethanol Evacuated flask, pressure zero Molecules begin to vaporize, pressure increases Molecules leave and enter liquid at equal rates, pressure reaches steady-state value 34.6 °C 78.3°C 100 °C Normal boiling point Diethyl ether Vapor pressure (torr) Ethyl alcohol (ethanol) Water Ethylene glycol 100 20 40 60 80 Temperature (°C) Copyright 2009 Pearson Prentice Hall,Inc. Click on: (Figure 2) and study...
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