Thermo_3

# Thermo_3 - Thermodynamics 3 Equilibrium and the Boltzmann...

This preview shows pages 1–7. Sign up to view the full content.

1 Thermodynamics 3. Equilibrium and the Boltzmann Relationship BIOL 7110 / CHEM 8901 / BIOL 4105 / CHEM 4804 January 27, 2011 6. Chemical Equilibrium

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

View Full Document
2 6. Chemical Equilibrium 6. Chemical Equilibrium
3 6. Chemical Equilibrium The relationship between probabilities and Δ G The Boltzmann factors allow the calculation of the probabilities. We want to determine the probability that the system is in state A, and the probability that the system is in state B Consider a system that is in equilibrium between two states A B This is also called the Boltzmann factor for state A. Δ G = G B G A with an energy difference between the states P rel ( A ) = e G A / RT The relative probability of state A is

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

View Full Document
4 The relationship between probabilities and Δ G For example, if Δ G = 1.0 kcal/mol, we can set G B = 1.0 G A = 0.0 and At 300K (RT = 0.6 kcal/mol), the relative probabilities of the two states are P rel ( A ) = e 0 = 1.00 P rel ( B ) = e 1.0/0.6 = 0.19 and The absolute probabilities of the two states are P ( B ) = 0.19/1.19 = 0.16 P ( A ) = 1.00/1.19 = 0.84 and The Boltzmann factors allow the calculation of the probabilities.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern