Pearson eText for Biochemistry: Concepts and Connections -- Instant Access (Pearson+)
Pearson eText for Biochemistry: Concepts and Connections -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137533114
Author: Dean Appling, Spencer Anthony-Cahill
Publisher: PEARSON+
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Chapter 15, Problem 3P
Interpretation Introduction

Interpretation:

The longest wavelength of light that could provide enough energy per photon to pump one proton against this gradient should be calculated at 250C, assuming 20% efficiency in photosynthesis.

Concept introduction:

The energy required to move the proton against any gradient should be equal to the energy of the proton.

Energy of one proton is calculated as:

E=h×cλ

For one mole of proton, the energy should be calculated as:

E=h×cλ×NA

Where, h is Planck's constant, c is speed of light and λ is wavelength with the values as:

h=6.626×1034J.sc=3×108m/sλ=700nm=7×107mNA=6.02×1023/mol

Interpretation Introduction

Interpretation:

The standard free energy change (ΔG) per mol of O2 produced should be calculated. The comparison of this energy should be done with the energy required to drive the synthesis of ATP.

Concept introduction:

The overall reaction for ATP synthesis in cyclic photophosphorylation is given as:

2NADP++3ADP3+3Pi2+H+O2+2NADPH+3ATP4+H2O

Looking, at the reaction, it can be said that one mole of proton produces one mole of O2.

But, the reaction of production of O2 is given as:

2NADP++3ADP+3Pi2+10H+O2+2NADPH+3ATP+12H+

Here, 12 moles of protons are produced with one mole of O2 which confirms that energy change in production of 12 moles of protons will be the energy change per mole of O2.

Interpretation Introduction

Interpretation:

The maximum number of moles of protons should be calculated that could be pumped against the gradient by the energy in a mole of photon of 650nm wavelength.

Concept introduction:

The energy required to move the proton against any gradient should be equal to the energy of the proton.

Energy of one proton is calculated as:

E=h×cλ

For one mole of proton, the energy should be calculated as:

E=h×cλ×NA

Where, h is Planck's constant, c is speed of light and λ is wavelength with the values as:

h=6.626×1034J.sc=3×108m/sλ=700nm=7×107mNA=6.02×1023/mol

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