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Q. For the reaction in the plant cells
$6CO_2\left(g\right) + 12 H_2O\left(l\right)\to C_6H_12O_6\left(s\right) + 6 O_2\left(g\right)+ 6H_2O\left(l\right) \Delta _rG° = 3000\, kJ/mol$
$ATP\to ADP + PO^{3-}_4\Delta _r G° = -30 kJ/mol$
Glucose is stored in the plant cell as starch $\left(C_6H_10O_5\right)_n$ To produce $162 g$ of starch how many moles of ATP are minimum required?

Thermodynamics

Solution:

$Mol. wt.$ of starch $= 162\, n$
$\therefore $ moles of $C_6H_{12}O_6$ to be produced $= 1 mol$
$\therefore $ moles of $ATP$ required $=\frac{3000}{30}=100 mol$