A critical reaction in the production of energy to do work or drive chemical rea
ID: 868906 • Letter: A
Question
A critical reaction in the production of energy to do work or drive chemical reactions in biological systems is the hydrolysis of adenosine triphosphate, ATP, to adenosine diphosphate, ADP, as described by
A critical reaction in the production of energy to do work or drive chemical reactions in biological systems is the hydrolysis of adenosine triphosphate, ATP, to adenosine diphosphate, ADP, as described by A??(aq) + ?2O(l) rightarrow AD?(ap) + ??O4 2-(aq) for which DeltaGorxn = -30.5 kJ/mol at 37.0 degree C and pH 7.0. Calculate the value of Delta Grxn in a biological cell in which [ATP] = 5.0 mM, [ADP] = 0.90 mM, and [HPO42-] = 5.0 mM. Is the hydrolysis of ATP spontaneous under these conditions?Explanation / Answer
We know that,
delta G = delta G0 + RT ln Q
where,
delta G = free energy at any moment
delta G0 = standard-state free energy
R is the ideal gas constant = 8.314 J/mol-K
T is the absolute temperature (Kelvin)
ln Q is natural logarithm of the reaction quotient
Q = [ADP] [HPO4 2-] / [ATP]
=> Q = 0.9 x 10^-3 x 5 x 10^-3 / 5 x 10^-3 = 9 x 10^-4
=> ln Q = -7.013
Therefore,
delta G = -30500 + 8.314 x 310 x (-7.013)
=> delta G = - 48575.2 J/mol = - 48.575 KJ/mol
Since delta G < 0, the reaction will be Spontaneous.
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