Question

The following data represents cellular concentrations of ATP, ADP, and inorganic phosphate from various mammalian organs. Calculate the actual Gibbs free energy change for hydrolysis of ATP under physiological conditions (assume 37oC). Assume ATP hydrolysis has a standard free energy change of -30.5 kJ/mol. Which cell type yields the greatest free energy change for ATP hydrolysis

Answer 1

Answer:

The liver cell with ∆G'° = -2.34 kJ/mol

Note: The question is incomplete. The complete question is given below:

The following data represents cellular concentrations of ATP, ADP, and inorganic phosphate from various mammalian organs. Calculate the actual Gibbs free energy change for hydrolysis of ATP under physiological conditions (assume 37°C). Assume ATP hydrolysis has a standard free energy change of -30.5 kJ/mol. Which cell type yields the greatest free energy change for ATP hydrolysis? Show your work. ATP (MM) ADP (mm) Pi. (mm) Liver 3.5 1.8 5.0 Muscle 8.0 0.9 8.0 Brain 2.6 0.7 2.7 mM=millimolar, ATP=adenosine triphosphate, ADP-adenosine diphosphate, Pi=inorganic phosphate

Explanation:

The equation for ATP hydrolysis is as follows: ATP ---> ADP + Pi

Standard free energy change, ∆G'° = -RTlnK'eq;

where K'eq is equilibrium constant; R = 8.315 J/mol.K; T = 298 K

K'eq = {[ADP][Pi]}/[ATP]

For Liver:

∆G'° = -(8.315)(298) × ln (1.8 × 5.0/3.5)

∆G'° = -2.34 kJ/mol

For Muscle

∆G'° = -(8.315)(298) × ln (0.9 × 8.0/8.0)

∆G'° = 0.261 kJ/mol

For Brain

∆G'° = -(8.315)(298) × ln (0.7 × 2.7/2.6)

∆G'° = 0.79 kJ/mol