Homework Help is Here – Start Your Trial Now!
Science
Chemistry
3. The Hisactophilin protein undergoes a reversible folding/unfolding transition at pH ~ 5.5, and T=320 K, in which q=215 kJ/mol of heat is absorbed by the protein as it unfolds. a) Calculate AS for this process at 320 K. If the folding/unfolding happens at constant pressure, what is AH for this process? b) Use the Gibbs-Helmholtz equation to calculate AG at 298 K. Will the protein unfold at 298 K, why or why not? c) Use Boltzmann's formula to estimate the ratio of microstates in the unfolded state relative to the folded state (at 320 K). (Hint: If you are working in units kJ/mol, then use Boltzmann's formula as S = RlnW, where "R" is the gas constant. To use Boltzmann's constant "kg", you would have to work in “per molecule" rather than "per mole" units). d) Now lets think about whether your answer to part c) is a crazy or reasonable number. Suppose an ideal gas expands into a vacuum, doubling it's volume. How many atoms must be in the gas to get the same increase in microstates as in part c)? e) Assume that Hisactophilin has 1000 atoms (actually pretty close...). Also assume that its entropy increase upon unfolding completely results from a volume effect, e.g. the effective volume per atom is greater in the unfolded state. Treat the atoms of Hisactophilin as an ideal gas, and compute the relative free volume of each atom in the folded and unfolded states.

3. The Hisactophilin protein undergoes a reversible folding/unfolding transition at pH ~ 5.5, and T=320 K, in which q=215 kJ/mol of heat is absorbed by the protein as it unfolds. a) Calculate AS for this process at 320 K. If the folding/unfolding happens at constant pressure, what is AH for this process? b) Use the Gibbs-Helmholtz equation to calculate AG at 298 K. Will the protein unfold at 298 K, why or why not? c) Use Boltzmann's formula to estimate the ratio of microstates in the unfolded state relative to the folded state (at 320 K). (Hint: If you are working in units kJ/mol, then use Boltzmann's formula as S = RlnW, where "R" is the gas constant. To use Boltzmann's constant "kg", you would have to work in “per molecule" rather than "per mole" units). d) Now lets think about whether your answer to part c) is a crazy or reasonable number. Suppose an ideal gas expands into a vacuum, doubling it's volume. How many atoms must be in the gas to get the same increase in microstates as in part c)? e) Assume that Hisactophilin has 1000 atoms (actually pretty close...). Also assume that its entropy increase upon unfolding completely results from a volume effect, e.g. the effective volume per atom is greater in the unfolded state. Treat the atoms of Hisactophilin as an ideal gas, and compute the relative free volume of each atom in the folded and unfolded states.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
See similar textbooks
icon
Related questions
Question
Just need c,d and e
3. The Hisactophilin protein undergoes a reversible folding/unfolding transition at pH ~ 5.5, and T=320 K, in which q=215 kJ/mol of heat is absorbed by the protein as it unfolds. a) Calculate AS for this process at 320 K. If the folding/unfolding happens at constant pressure, what is AH for this process? b) Use the Gibbs-Helmholtz equation to calculate AG at 298 K. Will the protein unfold at 298 K, why or why not? c) Use Boltzmann's formula to estimate the ratio of microstates in the unfolded state relative to the folded state (at 320 K). (Hint: If you are working in units kJ/mol, then use Boltzmann's formula as S = RlnW, where "R" is the gas constant. To use Boltzmann's constant "kg", you would have to work in “per molecule" rather than "per mole" units). d) Now lets think about whether your answer to part c) is a crazy or reasonable number. Suppose an ideal gas expands into a vacuum, doubling it's volume. How many atoms must be in the gas to get the same increase in microstates as in part c)? e) Assume that Hisactophilin has 1000 atoms (actually pretty close...). Also assume that its entropy increase upon unfolding completely results from a volume effect, e.g. the effective volume per atom is greater in the unfolded state. Treat the atoms of Hisactophilin as an ideal gas, and compute the relative free volume of each atom in the folded and unfolded states.
Transcribed Image Text:3. The Hisactophilin protein undergoes a reversible folding/unfolding transition at pH ~ 5.5, and T=320 K, in which q=215 kJ/mol of heat is absorbed by the protein as it unfolds. a) Calculate AS for this process at 320 K. If the folding/unfolding happens at constant pressure, what is AH for this process? b) Use the Gibbs-Helmholtz equation to calculate AG at 298 K. Will the protein unfold at 298 K, why or why not? c) Use Boltzmann's formula to estimate the ratio of microstates in the unfolded state relative to the folded state (at 320 K). (Hint: If you are working in units kJ/mol, then use Boltzmann's formula as S = RlnW, where "R" is the gas constant. To use Boltzmann's constant "kg", you would have to work in “per molecule" rather than "per mole" units). d) Now lets think about whether your answer to part c) is a crazy or reasonable number. Suppose an ideal gas expands into a vacuum, doubling it's volume. How many atoms must be in the gas to get the same increase in microstates as in part c)? e) Assume that Hisactophilin has 1000 atoms (actually pretty close...). Also assume that its entropy increase upon unfolding completely results from a volume effect, e.g. the effective volume per atom is greater in the unfolded state. Treat the atoms of Hisactophilin as an ideal gas, and compute the relative free volume of each atom in the folded and unfolded states.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Phase Diagrams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
SEE MORE TEXTBOOKS