Answer to Question #94345 in Biology for Subenay dolay

Question

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

Answer 1

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

ΔG = ΔGo + RT ln([ATP]/[ADP][P_i]),

where ΔG - free energy of the reaction, ΔGo - standard free energy, R - gas constant, T - temperature, [ATP] - ATP concentration, [ADP] - ADP concentration, [Pi] - phospate concentration.

As ΔGo = 30 kJ/mol, R = 37°C = 310.15 K, R = 8.314 × 10^-3 kJ/mol·K:

ΔG = 30 kJ/mol + 8.314 × 10^-3 kJ/mol·K × 310.15 K × ln(7.8 mM / 0.3 mM × 0.3 mM) = 30 kJ/mol + 8.314 × 10^-3 kJ/mol·K × 310.15 K × 4.462 = 30 kJ/mol + 11.5 kJ/mol = 41.5 kJ/mol

Answer: +41.5 kJ/mol