(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!)

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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!
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
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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