#### Interactive Self-Study Module: Using a Cubic EOS to Determine Vapor-Liquid Equilibrium

##### Overview:

This module uses screencasts and an interactive simulation to explain how to apply equations of states for mixtures. It then provides an example problem to allow the user to test themselves. Your retention of material in this module will increase if you write down reasons for your answers to ConcepTests, the question in the screencast, and questions to answer before using the interactive simulation, and you try to solve the example problem before watching the screencast solution. We suggest reviewing the EOS of a single component module before using the learning resources in the following order:

- Attempt to answer the multiple-choice ConcepTest and solve the example problem before watching the screencasts or working with the simulations.
- Watch the screencast that describes how to use an equation of state to calculate fugacity and answer the question within the screencast.
- Review important equations for this topic.
- Use the interactive simulation to further understand isotherms for the Peng-Robinson equation of state for mixtures.
- Try to solve the example problem before watching the solution in the screencast.
- Answer the ConcepTests.
- Look at the list of key points, but only after you try to list the key points yourself.

##### Motivation:

- This module is intended for a thermodynamics course.

##### Before studying this module, you should be able to:

- Explain bubble point and dew point.
- Apply a cubic EOS to a single component.
- Determine VLE for ideal solutions by using Raoult’s law.
- Calculate fugacities of components in mixtures.

##### After studying this module, you should be able to:

- Apply mixing rules to determine parameters to use in a cubic EOS.
- Apply a cubic equation of state (EOS) to determine bubble and dew points for multi-component mixtures.