Calculate the free energy change for the hydrolysis of ATP under these conditions:

The standard free energy change for the hydrolysis of ATP is [tex]-46.5 \, \text{kJ}[/tex].

\[ \text{ATP}(aq) + \text{H}_2\text{O}(l) \rightarrow \text{ADP}(aq) + \text{P}_i(aq) \]

The concentrations of ATP, ADP, and Pi are 0.0089 M, 0.0019 M, and 0.0038 M, respectively. (Assume a temperature of 298 K.)

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College

Answer :

nikitarahangdaleVT nikitarahangdaleVT · Answer 1 · 2025-03-27T07:40:34-04:00

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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https://brainly.com/question/15876696

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