{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

5_60_lecture18

5_60_lecture18 - MIT OpenCourseWare http/ocw.mit.edu 5.60...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
MIT OpenCourseWare http://ocw.mit.edu 5.60 Thermodynamics & Kinetics Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
5.60 Spring 2008 Lecture #18 page 1 Phase Equilibria in a 1-Component System Goal: Understand the general phenomenology of phase transitions and phase coexistence conditions for a single component system. The Chemical Potential μ controls phase transitions and phase equilibria. Equilibrium condition – at equilibrium μ must be identical throughout the system When multiple phases are present in equilibrium, μ must be the same in all phases For example, consider two phases (liquid and solid) of water at a fixed (T, p). If μ s (T, p) = μ (T, p) then… liquid water and ice coexist If μ s (T, p) > μ (T, p) then… the water is in the liquid phase If μ s (T, p) < μ (T, p) then… the water is in the solid phase How does μ depend on T? Start with Fundamental Equation for Gibbs (hence for μ ) dG = − SdT + Vdp d μ = − SdT + Vdp μ = G n S and V are molar quantities μ ⎛ ∂ μ = − S = V ⎝ ∂ T p p T
Image of page 2
5.60 Spring 2008 Lecture #18 page 2 3 rd Law tells us that S > 0 μ < 0 ⎝ ∂ T p negative slope T μ Also we know that S gas > S liquid > S solid , and μ gas μ liq μ solid = − S gas , = − S liq , = − S solid T p T p T p
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern