Moderate

For the reaction in the plant cells:6CO2 (g) + 12 H2O (λ) → C6H12O6 (s) + 6O2 (g) + 6H2O (λ); rGº = 3000 kJ/mol ATP → ADP+ PO43− ; ∆rGº = -30 kJ/mol Glucose is stored in the plant cell as starch, (C6H10O5)n. To produce 162 gm of starch how many minimum moles of ATP are required?

Correct answer: A. 100 mol

  • A. 100 mol
  • B. 10 mol
  • C. 20 mol
  • D. 200 mol

Explanation

The formation of glucose from CO2 and H2O in plant cells is a non-spontaneous process with a Gibbs free energy change of 3000 kJ/mol, requiring an energy source to proceed. ATP hydrolysis, with a Gibbs free energy change of -30 kJ/mol, provides the necessary energy. To produce 162 grams of starch, equivalent to 1 mole of glucose (molar mass = 162 g/mol), 3000 kJ of energy is needed. Dividing the energy required by the energy provided per mole of ATP (30 kJ/mol) results in the need for 100 moles of ATP. Thus, Option A is correct. Options B and C are incorrect because they underestimate the energy required, while Option D overestimates it.

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