Answer :
(a) The value of
is -51.4 kJ/mol
(b) Yes, the hydrolysis of ATP spontaneous under these conditions.
Explanation :
First we have to calculate the reaction quotient.
Reaction quotient (Q) : It is defined as the measurement of the relative amounts of products and reactants present during a reaction at a particular time.
The given balanced chemical reaction is,

The expression for reaction quotient will be :
![Q=([ADP][HPO_4^(2-)])/([ATP])](https://img.qammunity.org/2020/formulas/chemistry/college/c9y995ymahj8pm8bqwstguejivdqczd0m3.png)
In this expression, only gaseous or aqueous states are includes and pure liquid or solid states are omitted.
Given:
= 5.0 mM
= 0.30 mM
= 5.0 mM
Now put all the given values in this expression, we get

Now we have to calculate the value of
.
The formula used for
is:
............(1)
where,
= Gibbs free energy for the reaction = ?
= standard Gibbs free energy = -30.5 kJ/mol
R = gas constant =

T = temperature =

Q = reaction quotient =

Now put all the given values in the above formula 1, we get:


Therefore, the value of
is -51.4 kJ/mol
Gibbs free energy : It is defined as the amount of energy that is available to do useful work.
A reaction to be spontaneous when

A reaction to be non-spontaneous when

As the value of
is less than 0. So, the reaction will be spontaneous.
Yes, the hydrolysis of ATP spontaneous under these conditions.