$3 CO_{2} + 9 ATP + 6 NADPH + \text{water} \rightarrow \text{glyceraldehyde 3-phosphate} + 9 ADP + 6 NADP^{+} + 8 Pi$. Analyse the above reaction and answer the following questions:
$(a)$ How many molecules of $ATP$ and $NADPH$ are required to fix one molecule of $CO_{2}$?
$(b)$ Where in the chloroplast does this process occur?

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$(a)$ To fix one molecule of $CO_{2}$ in the Calvin cycle, $3$ molecules of $ATP$ and $2$ molecules of $NADPH$ are required.
$(b)$ This process, known as the Calvin cycle or the dark reaction, occurs in the stroma of the chloroplast.

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