The overall equation for photosynthetic \(\mathrm{CO}_{2}\) fixation is
\\[6 \mathrm{CO}_{2}+6 \mathrm{H}_{2} \mathrm{O} \longrightarrow
\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+6 \mathrm{O}_{2}\\]
\(A l l\) the \(\mathrm{O}\) atoms evolved as \(\mathrm{O}_{2}\) come from water;
none comes from carbon dioxide. But \(12 \mathrm{O}\) atoms are evolved as \(6
\mathrm{O}_{2}\), and only \(6 \mathrm{O}\) atoms appear as \(6 \mathrm{H}_{2}
\mathrm{O}\) in the equation. Also, \(6 \mathrm{CO}_{2}\) have \(12 \mathrm{O}\)
atoms, yet there are only \(6 \mathrm{O}\) atoms in \(\mathrm{C}_{6}
\mathrm{H}_{12} \mathrm{O}_{6} .\) How can you account for these discrepancies?
(Hint: Consider the partial reactions of photosynthesis: ATP synthesis, NADP'
reduction, photolysis of water, and the overall reaction for hexose synthesis
in the Calvin-Benson cycle.)