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Q.107 Botany ⭐ 360° Option Elimination Active
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NEET 2023 Botany Question 107 Solution

Topic: Photosynthesis in Higher Plants · Official NTA Booklet Code G5
NEET 2023 Botany Question 107: Calvin Cycle Energetics and Glucose Stoichiometry

Question

How many ATP and NADPH are required for the synthesis of one molecule of Glucose during Calvin cycle?

✓
Verified Against NTA Final Answer Key
Option (3) : 18 ATP and 12 NADPH₂
📚 Photosynthesis in Higher Plants Easy
📋 Given Parameters & Problem Setup
Pathway Calvin Cycle (C3C_3 pathway)
Target Product 1 molecule of Glucose (C6H12O6C_6H_{12}O_6)
CO2 Fixed 6 molecules of CO2CO_2
⚡

The 30-Second Exam Hall Shortcut: ⚡ 3:2 Ratio Multiplied by 6 Rule

⏱️ Save ~25 seconds

Fixing 1 CO2CO_2 requires 3 ATP and 2 NADPHNADPH. To synthesize 1 glucose (6 carbons6 \text{ carbons}), simply multiply the energetic cost by 6: 6×3=18 ATP6 \times 3 = 18\text{ ATP} and 6×2=12 NADPH6 \times 2 = 12\text{ NADPH}!

1 Per CO2CO_2 fixed: 2 ATP in reduction + 1 ATP in RuBP regeneration = 3 ATP.
2 Per CO2CO_2 fixed: 2 NADPH in reduction = 2 NADPH.
3 For 1 glucose (C6H12O6C_6H_{12}O_6): 6 cycles required.
4 Total ATP = 6×3=18 ATP6 \times 3 = 18\text{ ATP}.
5 Total NADPH = 6×2=12 NADPH26 \times 2 = 12\text{ NADPH}_2.
6 Select Option (3) 18 ATP and 12 NADPH2.
🛡️
Why You Can 100% Trust This Shortcut: Canonical NCERT Photosynthesis Calvin cycle biochemical stoichiometry.
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Calvin Cycle Phases and Energy Consumption per CO2

For each single molecule of CO2CO_2 entering the cycle, energy is consumed in two specific steps:

Reduction:2 molecules of 3-PGA→2 ATP +2 NADPH2 Triose-PRegeneration:Triose-P→1 ATP1 RuBPNet per CO2:3 ATPand2 NADPH\begin{aligned} \text{\textbf{Reduction:}} & \quad 2\text{ molecules of 3-PGA} \xrightarrow{2\text{ ATP } + 2\text{ NADPH}} 2\text{ Triose-P} \\[4pt] \text{\textbf{Regeneration:}} & \quad \text{Triose-P} \xrightarrow{1\text{ ATP}} 1\text{ RuBP} \\[4pt] \hline \text{\textbf{Net per }} CO_2: & \quad \mathbf{3\text{ ATP}} \quad \text{and} \quad \mathbf{2\text{ NADPH}} \end{aligned}
Step 2

Stoichiometry for One Hexose Molecule

Synthesis of one net molecule of glucose (C6H12O6C_6H_{12}O_6) requires 6 complete turns of the Calvin cycle fixing 6 CO2CO_2 molecules:

Total ATP=6×3=18 ATPTotal NADPH2=6×2=12 NADPH2\begin{aligned} \text{Total ATP} &= 6 \times 3 = \mathbf{18\text{ ATP}} \\[4pt] \text{Total NADPH}_2 &= 6 \times 2 = \mathbf{12\text{ NADPH}_2} \end{aligned}
Step 3

Overall Balance Sheet

The net input/output equation for glucose synthesis in the dark reaction is:

6CO2+18ATP+12NADPH⟶C6H12O6+18ADP+18Pi+12NADP+6CO_2 + 18\text{ATP} + 12\text{NADPH} \longrightarrow C_6H_{12}O_6 + 18\text{ADP} + 18\text{P}_i + 12\text{NADP}^+
⭐

360° Option Elimination Engine Key Feature

Diagnose every choice: Know exactly why the right option works and why distractors fail.

4-Option Deep Scan
1 1
✗ Incorrect
Verdict & Scientific Reason:

NADPH count is overstated; only 12 NADPH are required for reduction of 12 molecules of 3-PGA.

⚠️
Student Fallacy (Why candidates pick this trap): Arbitrarily inflating NADPH counts without balancing the 2 per CO2 reduction step.
2 2
✗ Incorrect
Verdict & Scientific Reason:

Under-counts ATP by omitting the 6 ATP consumed in RuBP regeneration.

⚠️
Student Fallacy (Why candidates pick this trap): Accounting only for the reduction phase (12 ATP) and forgetting RuBP regeneration (6 ATP).
3 3
✓ 100% Correct
Verdict & Scientific Reason:

Exact stoichiometric balance: 18 ATP (12 reduction + 6 regeneration) and 12 NADPH2 (reduction).

💡
Why this is airtight: None; rigorous biochemical stoichiometry.
4 4
✗ Incorrect
Verdict & Scientific Reason:

Both values are incorrect.

⚠️
Student Fallacy (Why candidates pick this trap): Confusing light reaction non-cyclic photophosphorylation ratios with Calvin cycle requirements.
⚠️

NTA Trap Alert: Omitting RuBP Regeneration ATP Trap

Many students only count the 2 ATP used per CO2CO_2 during the reduction of 3-PGA to G-3-P (totaling 12 ATP) and completely forget the 1 ATP per CO2CO_2 required to regenerate RuBP (totaling 6 ATP).

🛡️ How to avoid the -1 mark: Always remember: 3 ATP per CO2 (2 in reduction + 1 in regeneration). 6 x 3 = 18 ATP!
📖

Core NEET Syllabus Standard

NCERT Biology · Photosynthesis in Higher Plants Standard Benchmark
Core Scientific Principle Tested:

"For every CO2 molecule entering the Calvin cycle, 3 molecules of ATP and 2 of NADPH are required. To make one molecule of glucose, 6 turns of the cycle are required, consuming 18 ATP and 12 NADPH."

Syllabus Focus: The Calvin Cycle
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗

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