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Q.

Photosynthesis is a process by which light energy gets funnelled into creating chemical potential for generation of proton gradients across membranes. Suppose photosynthesis is only 0.5% efficient in creating such gradients, calculate how many moles of photons will be required such that λhc=643×1017J−1 to create a pH gradient (per mole) as shown below across a cellular membrane under ambient temperature of 300 K?

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answer is 8.

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Detailed Solution

E=xNAhυx = number of moles of photonsΔG=−nFEcellEcell=0.059p2H−p1HΔG=96500×0.059×2E=n hcλx×364×1017×0.5100=113876.023×1023x=11387×100×64×10176.023×1023×3×0.5=80665×10171023=8.0665
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