The following is a temperature-composition Liquid-vapor phase diagram of a binary system A-B, where zA refers to the mole fraction of component A in the mixture. (a) stable vapor phase exists in areas (choose I, II or III) = | ; (b) what is the boiling point of a solution of XA=0.2? Tb (°C, no decimal) = 60 (c) what is the vapor phase mole fraction of A in equilibrium with the solution of xA=0.2? yA (1 decimals) = 0.6 (d) With two theoretical plates, Estimate the vapor phase mole fraction of A at the top of a factional distillation column? yA (2 decimals) = Please enter your answer according to the instructions. 100 80 60 40 20 0.5 ZA Temperature !D

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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**Question 3**

This question involves a temperature-composition liquid-vapor phase diagram of a binary system A-B. In the diagram, \( z_A \) represents the mole fraction of component A in the mixture. Below are the tasks to complete:

(a) Determine where a stable vapor phase exists (choose area I, II, or III).

(b) Identify the boiling point of a solution with \( x_A = 0.2 \). The boiling point, \( T_B \) (in °C, without decimals), is provided as: ____.

(c) Calculate the vapor phase mole fraction of A in equilibrium with the solution at \( x_A = 0.2 \). The mole fraction \( y_A \) (to 1 decimal place) is given as: ____.

(d) Using two theoretical plates, estimate the vapor phase mole fraction of A at the top of a fractional distillation column. The mole fraction \( y_A \) (to 2 decimal places) is: ____.

**Instructions**: Enter your answers according to the instructions.

**Graph Analysis**

The graph provided plots Temperature (°C) on the vertical axis against the mole fraction of A (\( z_A \)) on the horizontal axis. The graph displays two prominent curves: 

- **Bubble Point Curve**: This curve represents the temperatures at which the first bubble of vapor forms as a liquid mixture is heated.
- **Dew Point Curve**: This curve shows the temperatures at which the last drop of liquid remains as a vapor mixture is cooled.

The graph marks three distinct areas:
- **Area I**: Located below the bubble point curve, indicating a single-phase liquid.
- **Area II**: Situated between the bubble point and the dew point curves, indicating a two-phase liquid-vapor mixture.
- **Area III**: Above the dew point curve, representing a single-phase vapor.

The diagram is fundamental for understanding phase changes and composition behavior in binary systems, especially in the context of distillation processes.
Transcribed Image Text:**Question 3** This question involves a temperature-composition liquid-vapor phase diagram of a binary system A-B. In the diagram, \( z_A \) represents the mole fraction of component A in the mixture. Below are the tasks to complete: (a) Determine where a stable vapor phase exists (choose area I, II, or III). (b) Identify the boiling point of a solution with \( x_A = 0.2 \). The boiling point, \( T_B \) (in °C, without decimals), is provided as: ____. (c) Calculate the vapor phase mole fraction of A in equilibrium with the solution at \( x_A = 0.2 \). The mole fraction \( y_A \) (to 1 decimal place) is given as: ____. (d) Using two theoretical plates, estimate the vapor phase mole fraction of A at the top of a fractional distillation column. The mole fraction \( y_A \) (to 2 decimal places) is: ____. **Instructions**: Enter your answers according to the instructions. **Graph Analysis** The graph provided plots Temperature (°C) on the vertical axis against the mole fraction of A (\( z_A \)) on the horizontal axis. The graph displays two prominent curves: - **Bubble Point Curve**: This curve represents the temperatures at which the first bubble of vapor forms as a liquid mixture is heated. - **Dew Point Curve**: This curve shows the temperatures at which the last drop of liquid remains as a vapor mixture is cooled. The graph marks three distinct areas: - **Area I**: Located below the bubble point curve, indicating a single-phase liquid. - **Area II**: Situated between the bubble point and the dew point curves, indicating a two-phase liquid-vapor mixture. - **Area III**: Above the dew point curve, representing a single-phase vapor. The diagram is fundamental for understanding phase changes and composition behavior in binary systems, especially in the context of distillation processes.
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