(A) What is the free energy yield associated with the transport of a proton from the mitochondrial intermembrane space (IMS) to the mitochondrial matrix, assuming that the pH of the IMS is 1.4 units lower than the pH of the matrix? (Hint: Calculate AGO for the reaction H*IMS H*matrix using the relationship AG° = RTInKg and remembering that pH = -log1o[H*]. Assume that T = 310K (37°C), and R = 8.315x10-3 kJ mol-1 K-1.] Show your work and include correct units!)
(A) What is the free energy yield associated with the transport of a proton from the mitochondrial intermembrane space (IMS) to the mitochondrial matrix, assuming that the pH of the IMS is 1.4 units lower than the pH of the matrix? (Hint: Calculate AGO for the reaction H*IMS H*matrix using the relationship AG° = RTInKg and remembering that pH = -log1o[H*]. Assume that T = 310K (37°C), and R = 8.315x10-3 kJ mol-1 K-1.] Show your work and include correct units!)
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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![**Question (A):** What is the free energy yield associated with the transport of a proton from the mitochondrial intermembrane space (IMS) to the mitochondrial matrix, assuming that the pH of the IMS is 1.4 units lower than the pH of the matrix?
**Hint:** Calculate ΔG°' for the reaction H⁺(IMS) → H⁺(matrix) using the relationship ΔG°' = RTlnK_eq and remembering that pH = -log₁₀[H⁺]. Assume that T = 310K (37°C), and R = 8.315 x 10⁻³ kJ mol⁻¹ K⁻¹. Show your work and include correct units!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94d9d6f7-b157-403a-851b-79bd19c538db%2F81d10715-967f-4c62-8361-135864560457%2Fsrij8wl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question (A):** What is the free energy yield associated with the transport of a proton from the mitochondrial intermembrane space (IMS) to the mitochondrial matrix, assuming that the pH of the IMS is 1.4 units lower than the pH of the matrix?
**Hint:** Calculate ΔG°' for the reaction H⁺(IMS) → H⁺(matrix) using the relationship ΔG°' = RTlnK_eq and remembering that pH = -log₁₀[H⁺]. Assume that T = 310K (37°C), and R = 8.315 x 10⁻³ kJ mol⁻¹ K⁻¹. Show your work and include correct units!
Expert Solution
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Step 1
Given,G = RTlnKeq.
Also given that pH of IMS is 1.4 units lower than pH of the matrix.
R = 8.315*10^-3 KJ/mol K.
T= 310 K ;
Let pH of matrix =x ;
then pH of IMS = (x - 1.4)
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