Question #94345

How much transformed free energy would be required to provide cells with 7.8mM ATP at 37 Celcius if both ADP and inorganic phosphate are at 0.3mM

Expert's answer

Transformed free energy required for the production of ATP can be estimated using the following equation:

*Î”G = Î”Go + RT ln([ATP]/[ADP][P*_{i}*]), *

where Î”G - free energy of the reaction, Î”Go - standard free energy, R - gas constant, T - temperature, [ATP] - ATP concentration, [ADP] - ADP concentration, [Pi] - phospate concentration.

As *Î”Go = 30 kJ/mol, R = 37Â°C = 310.15 K, R = 8.314 Ã— 10*^{-3}* kJ/molÂ·K*:

*Î”G = 30 kJ/mol + 8.314 Ã— 10*^{-3}* kJ/molÂ·K Ã— 310.15 K Ã— ln(7.8 mM / 0.3 mM Ã— 0.3 mM) = 30 kJ/mol + 8.314 Ã— 10*^{-3 }*kJ/molÂ·K Ã— 310.15 K Ã— 4.462 = 30 kJ/mol + 11.5 kJ/mol = 41.5 kJ/mol*

**Answer: +41.5 kJ/mol**

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