Final answer:
The change in free energy (ΔG) for the hydrolysis of ATP in a biological cell adjusts for actual concentrations of ATP, ADP, and Pi, and the standard free energy change (ΔG°') of -30.5 kJ/mol. Cellular ΔG can be calculated using the formula with the gas constant and temperature in Kelvins determining the effect of actual concentrations on free energy.
Step-by-step explanation:
The calculation of the change in free energy (ΔG) for the hydrolysis of ATP in a biological cell requires consideration of the actual concentrations of ATP, ADP, and inorganic phosphate (Pi). The standard free energy change under standard conditions (ΔG°') is given as -30.5 kJ/mol.
In a biological context, the free energy change can differ from standard values. To adjust for real cellular conditions, we can use the actual concentrations of reactants and products. The equation to calculate the free energy change in a cell is given by the relationship: ΔG = ΔG°' + RT ln([ADP][Pi]/[ATP]), where R is the gas constant (8.314 J/(mol·K)), T is the temperature in Kelvins, and [ADP], [Pi], and [ATP] are the concentrations of ADP, inorganic phosphate, and ATP, respectively.