Answer:
(a). The Gibbs free energy change is 2.895 kJ and its positive.
(b). The Gibbs free energy change is 34.59 J/mole
(c). The pressure is 14924 atm.
(d). The Gibbs free energy of diamond relative to graphite is 4912 J.
Explanation:
Given that,
Temperature = 298 K
Suppose, density of graphite is 2.25 g/cm³ and density of diamond is 3.51 g/cm³.




(a) We need to calculate the value of
for diamond
Using formula of Gibbs free energy change

Put the value into the formula



The Gibbs free energy change is positive.
(b). When it is compressed isothermally from 1 atm to 1000 atm
We need to calculate the change of Gibbs free energy of diamond
Using formula of gibbs free energy


Put the value into the formula


(c). Assuming that graphite and diamond are incompressible
We need to calculate the pressure
Using formula of Gibbs free energy



Put the value into the formula




(d). Here, 
So, The value of
and
at 900 k will be equal at 298 K
We need to calculate the Gibbs free energy of diamond relative to graphite
Using formula of Gibbs free energy

Put the value into the formula


Hence, (a). The Gibbs free energy change is 2.895 kJ and its positive.
(b). The Gibbs free energy change is 34.59 J/mole
(c). The pressure is 14924 atm.
(d). The Gibbs free energy of diamond relative to graphite is 4912 J.