The free energy change for the hydrolysis of ATP by using the equation ATP(aq)+H2O(l)→ADP(aq)+Pi(aq) is -64362.77joules.
We can calculate the free energy change of reaction by using the standard free energy by using the below link:
ΔG = ΔG⁰ + RTlnQ, where
R = ideal gas constant = 8.314 J/mol.K
ΔG⁰ = standard free energy = -46.5 kJ = -46500 J
T = temperature = 298 K
Q = ratio of the products to reactants for the given chemical reaction
Q = [0.0019][0.0038] / [0.0089] = 8.1×10⁻⁴
On putting values on the above equation, we get
ΔG = -46500 + (8.314)(298)ln(8.1×10⁻⁴)
ΔG = -46500 + (2477.5)(-7.21)
ΔG = -46500 - 17862.77
ΔG = -64362.77
Hence required value of free energy change is -64362.77 joules.
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