Question
Photosynthesis uses $660-\mathrm{nm}$ light to convert $\mathrm{CO}_{2}$ and $\mathrm{H}_{2} \mathrm{O}$ into glucose and $\mathrm{O}_{2}$. Calculate the frequency of this light.
Step 1
00 x 10^8 m/s. We need to find the frequency (ν). Before we proceed, let's convert the wavelength from nm to meters: 660 nm = 660 x 10^(-9) m Show more…
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Photosynthesis uses 660 -nm light to convert $\mathrm{CO}_{2}$ and $\mathrm{H}_{2} \mathrm{O}$ into glucose and $\mathrm{O}_{2}$ . Calculate the frequency of this light
During photosynthesis, eight photons must be absorbed (four by each photosystem) for every $\mathrm{O}_{2}$ molecule produced: $$2 \mathrm{H}_{2} \mathrm{O}+2 \mathrm{NADP}^{+}+8 \text { photons } \rightarrow 2 \mathrm{NADPH}+2 \mathrm{H}^{+}+\mathrm{O}_{2}$$ Assuming that these photons have a wavelength of $700 \mathrm{nm}$ (red) and that the light absorption and use of light energy are $100 \%$ efficient, calculate the free-energy change for the process.
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