Solution :-
H2(g) + I2(g) ---- > 2 HI(g)
Delta Go = -23.25 kJ = -23250 J
Temperature = 699 K
Pressure of reactant and products
[H2]=[I2] = 10.0 atm
[HI] = 1.94 atm
Formula to calculate the delta G
Delta G= delta Go – RT ln Q
Where Q= [product]/[reactant]
Lets calculate the value of Q
Q= [HI]^2/[H2][I2]
Q=[1.94]^2/[10.0][10.0]
Q= 0.03764
Lets put the value of Q in the above formula
Delta G= delta Go + RT ln Q
= -23250 J + (8.314 J per mol K * 699 K * ln (0.03764))
= -42310 J
Lets convert joules to kJ
-42310 J * 1 kJ / 1000 J = -42.3 kJ
Therefore the answer is option D
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